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Finding the Fourth Proportional to 477.76, 658.88 and 374.08

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Solution

The fourth proportional to 477.76, 658.88 and 374.08 is: 515.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.76 : 658.88 = 374.08 : x
  2. Step 2: Convert to fraction form
    477.76/658.88 = 374.08/x
  3. Step 3: Cross multiply
    477.76x = 658.88 × 374.08
  4. Step 4: Simplify right side
    477.76x = 246,473.83
  5. Step 5: Solve for x
    x = 246,473.83/477.76
  6. Step 6: Final answer
    x = 515.89

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Why These Related Problems?

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