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Finding the Fourth Proportional to 940.51, 1,410.75 and 324.20

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Solution

The fourth proportional to 940.51, 1,410.75 and 324.20 is: 486.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.51 : 1,410.75 = 324.20 : x
  2. Step 2: Convert to fraction form
    940.51/1,410.75 = 324.20/x
  3. Step 3: Cross multiply
    940.51x = 1,410.75 × 324.20
  4. Step 4: Simplify right side
    940.51x = 457,367.06
  5. Step 5: Solve for x
    x = 457,367.06/940.51
  6. Step 6: Final answer
    x = 486.30

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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.