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Finding the Fourth Proportional to 901.39, 1,352.18 and 324.25

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Solution

The fourth proportional to 901.39, 1,352.18 and 324.25 is: 486.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.39 : 1,352.18 = 324.25 : x
  2. Step 2: Convert to fraction form
    901.39/1,352.18 = 324.25/x
  3. Step 3: Cross multiply
    901.39x = 1,352.18 × 324.25
  4. Step 4: Simplify right side
    901.39x = 438,444.37
  5. Step 5: Solve for x
    x = 438,444.37/901.39
  6. Step 6: Final answer
    x = 486.41

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.