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Finding the Fourth Proportional to 459.52, 686.12 and 418.48

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Solution

The fourth proportional to 459.52, 686.12 and 418.48 is: 624.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.52 : 686.12 = 418.48 : x
  2. Step 2: Convert to fraction form
    459.52/686.12 = 418.48/x
  3. Step 3: Cross multiply
    459.52x = 686.12 × 418.48
  4. Step 4: Simplify right side
    459.52x = 287,127.50
  5. Step 5: Solve for x
    x = 287,127.50/459.52
  6. Step 6: Final answer
    x = 624.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.