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Finding the Fourth Proportional to 459.06, 686.88 and 433.10

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Solution

The fourth proportional to 459.06, 686.88 and 433.10 is: 648.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.06 : 686.88 = 433.10 : x
  2. Step 2: Convert to fraction form
    459.06/686.88 = 433.10/x
  3. Step 3: Cross multiply
    459.06x = 686.88 × 433.10
  4. Step 4: Simplify right side
    459.06x = 297,487.73
  5. Step 5: Solve for x
    x = 297,487.73/459.06
  6. Step 6: Final answer
    x = 648.04

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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.