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Finding the Fourth Proportional to 477.70, 658.47 and 390.22

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Solution

The fourth proportional to 477.70, 658.47 and 390.22 is: 537.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.70 : 658.47 = 390.22 : x
  2. Step 2: Convert to fraction form
    477.70/658.47 = 390.22/x
  3. Step 3: Cross multiply
    477.70x = 658.47 × 390.22
  4. Step 4: Simplify right side
    477.70x = 256,948.16
  5. Step 5: Solve for x
    x = 256,948.16/477.70
  6. Step 6: Final answer
    x = 537.89

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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.