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Finding the Fourth Proportional to 457.93, 686.46 and 340.49

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Solution

The fourth proportional to 457.93, 686.46 and 340.49 is: 510.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.93 : 686.46 = 340.49 : x
  2. Step 2: Convert to fraction form
    457.93/686.46 = 340.49/x
  3. Step 3: Cross multiply
    457.93x = 686.46 × 340.49
  4. Step 4: Simplify right side
    457.93x = 233,734.33
  5. Step 5: Solve for x
    x = 233,734.33/457.93
  6. Step 6: Final answer
    x = 510.41

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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.