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Finding the Fourth Proportional to 477.35, 658.26 and 359.60

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Solution

The fourth proportional to 477.35, 658.26 and 359.60 is: 495.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.35 : 658.26 = 359.60 : x
  2. Step 2: Convert to fraction form
    477.35/658.26 = 359.60/x
  3. Step 3: Cross multiply
    477.35x = 658.26 × 359.60
  4. Step 4: Simplify right side
    477.35x = 236,710.30
  5. Step 5: Solve for x
    x = 236,710.30/477.35
  6. Step 6: Final answer
    x = 495.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.