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Finding the Fourth Proportional to 493.60, 736.04 and 477.76

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Solution

The fourth proportional to 493.60, 736.04 and 477.76 is: 712.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.60 : 736.04 = 477.76 : x
  2. Step 2: Convert to fraction form
    493.60/736.04 = 477.76/x
  3. Step 3: Cross multiply
    493.60x = 736.04 × 477.76
  4. Step 4: Simplify right side
    493.60x = 351,650.47
  5. Step 5: Solve for x
    x = 351,650.47/493.60
  6. Step 6: Final answer
    x = 712.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.