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Finding the Fourth Proportional to 534.08, 738.24 and 403.44

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Solution

The fourth proportional to 534.08, 738.24 and 403.44 is: 557.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.08 : 738.24 = 403.44 : x
  2. Step 2: Convert to fraction form
    534.08/738.24 = 403.44/x
  3. Step 3: Cross multiply
    534.08x = 738.24 × 403.44
  4. Step 4: Simplify right side
    534.08x = 297,835.55
  5. Step 5: Solve for x
    x = 297,835.55/534.08
  6. Step 6: Final answer
    x = 557.66

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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.