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Finding the Fourth Proportional to 457.64, 686.54 and 214.04

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Solution

The fourth proportional to 457.64, 686.54 and 214.04 is: 321.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.64 : 686.54 = 214.04 : x
  2. Step 2: Convert to fraction form
    457.64/686.54 = 214.04/x
  3. Step 3: Cross multiply
    457.64x = 686.54 × 214.04
  4. Step 4: Simplify right side
    457.64x = 146,947.02
  5. Step 5: Solve for x
    x = 146,947.02/457.64
  6. Step 6: Final answer
    x = 321.10

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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.