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Finding the Fourth Proportional to 543.57, 751.31 and 397.23

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Solution

The fourth proportional to 543.57, 751.31 and 397.23 is: 549.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.57 : 751.31 = 397.23 : x
  2. Step 2: Convert to fraction form
    543.57/751.31 = 397.23/x
  3. Step 3: Cross multiply
    543.57x = 751.31 × 397.23
  4. Step 4: Simplify right side
    543.57x = 298,442.87
  5. Step 5: Solve for x
    x = 298,442.87/543.57
  6. Step 6: Final answer
    x = 549.04

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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.