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Finding the Fourth Proportional to 477.47, 658.91 and 311.59

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Solution

The fourth proportional to 477.47, 658.91 and 311.59 is: 429.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.47 : 658.91 = 311.59 : x
  2. Step 2: Convert to fraction form
    477.47/658.91 = 311.59/x
  3. Step 3: Cross multiply
    477.47x = 658.91 × 311.59
  4. Step 4: Simplify right side
    477.47x = 205,307.25
  5. Step 5: Solve for x
    x = 205,307.25/477.47
  6. Step 6: Final answer
    x = 429.99

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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.