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Finding the Fourth Proportional to 543.71, 750.31 and 295.02

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Solution

The fourth proportional to 543.71, 750.31 and 295.02 is: 407.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.71 : 750.31 = 295.02 : x
  2. Step 2: Convert to fraction form
    543.71/750.31 = 295.02/x
  3. Step 3: Cross multiply
    543.71x = 750.31 × 295.02
  4. Step 4: Simplify right side
    543.71x = 221,358.53
  5. Step 5: Solve for x
    x = 221,358.53/543.71
  6. Step 6: Final answer
    x = 407.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.