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Finding the Fourth Proportional to 457.90, 686.24 and 342.06

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Solution

The fourth proportional to 457.90, 686.24 and 342.06 is: 512.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.90 : 686.24 = 342.06 : x
  2. Step 2: Convert to fraction form
    457.90/686.24 = 342.06/x
  3. Step 3: Cross multiply
    457.90x = 686.24 × 342.06
  4. Step 4: Simplify right side
    457.90x = 234,735.25
  5. Step 5: Solve for x
    x = 234,735.25/457.90
  6. Step 6: Final answer
    x = 512.63

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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.