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Finding the Fourth Proportional to 425.61, 637.85 and 414.88

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Solution

The fourth proportional to 425.61, 637.85 and 414.88 is: 621.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.61 : 637.85 = 414.88 : x
  2. Step 2: Convert to fraction form
    425.61/637.85 = 414.88/x
  3. Step 3: Cross multiply
    425.61x = 637.85 × 414.88
  4. Step 4: Simplify right side
    425.61x = 264,630.65
  5. Step 5: Solve for x
    x = 264,630.65/425.61
  6. Step 6: Final answer
    x = 621.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.