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Finding the Fourth Proportional to 931.97, 1,397.96 and 282.71

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Solution

The fourth proportional to 931.97, 1,397.96 and 282.71 is: 424.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.97 : 1,397.96 = 282.71 : x
  2. Step 2: Convert to fraction form
    931.97/1,397.96 = 282.71/x
  3. Step 3: Cross multiply
    931.97x = 1,397.96 × 282.71
  4. Step 4: Simplify right side
    931.97x = 395,220.41
  5. Step 5: Solve for x
    x = 395,220.41/931.97
  6. Step 6: Final answer
    x = 424.07

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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.