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Finding the Fourth Proportional to 457.47, 686.24 and 284.00

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Solution

The fourth proportional to 457.47, 686.24 and 284.00 is: 426.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.47 : 686.24 = 284.00 : x
  2. Step 2: Convert to fraction form
    457.47/686.24 = 284.00/x
  3. Step 3: Cross multiply
    457.47x = 686.24 × 284.00
  4. Step 4: Simplify right side
    457.47x = 194,887.31
  5. Step 5: Solve for x
    x = 194,887.31/457.47
  6. Step 6: Final answer
    x = 426.01

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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.