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Finding the Fourth Proportional to 901.42, 1,352.31 and 324.34

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Solution

The fourth proportional to 901.42, 1,352.31 and 324.34 is: 486.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.42 : 1,352.31 = 324.34 : x
  2. Step 2: Convert to fraction form
    901.42/1,352.31 = 324.34/x
  3. Step 3: Cross multiply
    901.42x = 1,352.31 × 324.34
  4. Step 4: Simplify right side
    901.42x = 438,608.23
  5. Step 5: Solve for x
    x = 438,608.23/901.42
  6. Step 6: Final answer
    x = 486.57

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Half scale
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Double scale
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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.