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Finding the Fourth Proportional to 477.23, 658.61 and 278.12

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Solution

The fourth proportional to 477.23, 658.61 and 278.12 is: 383.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.23 : 658.61 = 278.12 : x
  2. Step 2: Convert to fraction form
    477.23/658.61 = 278.12/x
  3. Step 3: Cross multiply
    477.23x = 658.61 × 278.12
  4. Step 4: Simplify right side
    477.23x = 183,172.61
  5. Step 5: Solve for x
    x = 183,172.61/477.23
  6. Step 6: Final answer
    x = 383.82

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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.