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Finding the Fourth Proportional to 477.47, 658.73 and 290.89

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Solution

The fourth proportional to 477.47, 658.73 and 290.89 is: 401.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.47 : 658.73 = 290.89 : x
  2. Step 2: Convert to fraction form
    477.47/658.73 = 290.89/x
  3. Step 3: Cross multiply
    477.47x = 658.73 × 290.89
  4. Step 4: Simplify right side
    477.47x = 191,617.97
  5. Step 5: Solve for x
    x = 191,617.97/477.47
  6. Step 6: Final answer
    x = 401.32

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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.