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Finding the Fourth Proportional to 543.75, 749.67 and 356.91

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Solution

The fourth proportional to 543.75, 749.67 and 356.91 is: 492.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.75 : 749.67 = 356.91 : x
  2. Step 2: Convert to fraction form
    543.75/749.67 = 356.91/x
  3. Step 3: Cross multiply
    543.75x = 749.67 × 356.91
  4. Step 4: Simplify right side
    543.75x = 267,562.58
  5. Step 5: Solve for x
    x = 267,562.58/543.75
  6. Step 6: Final answer
    x = 492.07

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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.