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Finding the Fourth Proportional to 457.53, 686.39 and 411.63

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Solution

The fourth proportional to 457.53, 686.39 and 411.63 is: 617.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.53 : 686.39 = 411.63 : x
  2. Step 2: Convert to fraction form
    457.53/686.39 = 411.63/x
  3. Step 3: Cross multiply
    457.53x = 686.39 × 411.63
  4. Step 4: Simplify right side
    457.53x = 282,536.66
  5. Step 5: Solve for x
    x = 282,536.66/457.53
  6. Step 6: Final answer
    x = 617.53

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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.