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Finding the Fourth Proportional to 487.68, 669.02 and 474.92

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Solution

The fourth proportional to 487.68, 669.02 and 474.92 is: 651.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.68 : 669.02 = 474.92 : x
  2. Step 2: Convert to fraction form
    487.68/669.02 = 474.92/x
  3. Step 3: Cross multiply
    487.68x = 669.02 × 474.92
  4. Step 4: Simplify right side
    487.68x = 317,730.98
  5. Step 5: Solve for x
    x = 317,730.98/487.68
  6. Step 6: Final answer
    x = 651.52

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.