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Finding the Fourth Proportional to 477.52, 658.78 and 290.99

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Solution

The fourth proportional to 477.52, 658.78 and 290.99 is: 401.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.52 : 658.78 = 290.99 : x
  2. Step 2: Convert to fraction form
    477.52/658.78 = 290.99/x
  3. Step 3: Cross multiply
    477.52x = 658.78 × 290.99
  4. Step 4: Simplify right side
    477.52x = 191,699.31
  5. Step 5: Solve for x
    x = 191,699.31/477.52
  6. Step 6: Final answer
    x = 401.45

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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.