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Finding the Fourth Proportional to 637.08, 878.42 and 543.53

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Solution

The fourth proportional to 637.08, 878.42 and 543.53 is: 749.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.08 : 878.42 = 543.53 : x
  2. Step 2: Convert to fraction form
    637.08/878.42 = 543.53/x
  3. Step 3: Cross multiply
    637.08x = 878.42 × 543.53
  4. Step 4: Simplify right side
    637.08x = 477,444.71
  5. Step 5: Solve for x
    x = 477,444.71/637.08
  6. Step 6: Final answer
    x = 749.42

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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.