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Finding the Fourth Proportional to 457.18, 686.27 and 340.47

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Solution

The fourth proportional to 457.18, 686.27 and 340.47 is: 511.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.18 : 686.27 = 340.47 : x
  2. Step 2: Convert to fraction form
    457.18/686.27 = 340.47/x
  3. Step 3: Cross multiply
    457.18x = 686.27 × 340.47
  4. Step 4: Simplify right side
    457.18x = 233,655.20
  5. Step 5: Solve for x
    x = 233,655.20/457.18
  6. Step 6: Final answer
    x = 511.08

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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.