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Finding the Fourth Proportional to 543.24, 815.10 and 397.13

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Solution

The fourth proportional to 543.24, 815.10 and 397.13 is: 595.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.24 : 815.10 = 397.13 : x
  2. Step 2: Convert to fraction form
    543.24/815.10 = 397.13/x
  3. Step 3: Cross multiply
    543.24x = 815.10 × 397.13
  4. Step 4: Simplify right side
    543.24x = 323,696.59
  5. Step 5: Solve for x
    x = 323,696.59/543.24
  6. Step 6: Final answer
    x = 595.86

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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.