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Finding the Fourth Proportional to 457.79, 686.88 and 416.07

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Solution

The fourth proportional to 457.79, 686.88 and 416.07 is: 624.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.79 : 686.88 = 416.07 : x
  2. Step 2: Convert to fraction form
    457.79/686.88 = 416.07/x
  3. Step 3: Cross multiply
    457.79x = 686.88 × 416.07
  4. Step 4: Simplify right side
    457.79x = 285,790.16
  5. Step 5: Solve for x
    x = 285,790.16/457.79
  6. Step 6: Final answer
    x = 624.29

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Why These Related Problems?

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