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Finding the Fourth Proportional to 493.35, 734.76 and 487.68

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Solution

The fourth proportional to 493.35, 734.76 and 487.68 is: 726.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.35 : 734.76 = 487.68 : x
  2. Step 2: Convert to fraction form
    493.35/734.76 = 487.68/x
  3. Step 3: Cross multiply
    493.35x = 734.76 × 487.68
  4. Step 4: Simplify right side
    493.35x = 358,327.76
  5. Step 5: Solve for x
    x = 358,327.76/493.35
  6. Step 6: Final answer
    x = 726.32

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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.