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Finding the Fourth Proportional to 709.89, 979.47 and 477.02

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Solution

The fourth proportional to 709.89, 979.47 and 477.02 is: 658.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.89 : 979.47 = 477.02 : x
  2. Step 2: Convert to fraction form
    709.89/979.47 = 477.02/x
  3. Step 3: Cross multiply
    709.89x = 979.47 × 477.02
  4. Step 4: Simplify right side
    709.89x = 467,221.88
  5. Step 5: Solve for x
    x = 467,221.88/709.89
  6. Step 6: Final answer
    x = 658.16

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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.