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Finding the Fourth Proportional to 543.37, 749.15 and 356.53

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Solution

The fourth proportional to 543.37, 749.15 and 356.53 is: 491.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.37 : 749.15 = 356.53 : x
  2. Step 2: Convert to fraction form
    543.37/749.15 = 356.53/x
  3. Step 3: Cross multiply
    543.37x = 749.15 × 356.53
  4. Step 4: Simplify right side
    543.37x = 267,095.43
  5. Step 5: Solve for x
    x = 267,095.43/543.37
  6. Step 6: Final answer
    x = 491.56

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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.