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Finding the Fourth Proportional to 500.63, 747.16 and 487.67

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Solution

The fourth proportional to 500.63, 747.16 and 487.67 is: 727.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.63 : 747.16 = 487.67 : x
  2. Step 2: Convert to fraction form
    500.63/747.16 = 487.67/x
  3. Step 3: Cross multiply
    500.63x = 747.16 × 487.67
  4. Step 4: Simplify right side
    500.63x = 364,367.52
  5. Step 5: Solve for x
    x = 364,367.52/500.63
  6. Step 6: Final answer
    x = 727.82

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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.