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Finding the Fourth Proportional to 478.52, 660.17 and 292.00

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Solution

The fourth proportional to 478.52, 660.17 and 292.00 is: 402.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.52 : 660.17 = 292.00 : x
  2. Step 2: Convert to fraction form
    478.52/660.17 = 292.00/x
  3. Step 3: Cross multiply
    478.52x = 660.17 × 292.00
  4. Step 4: Simplify right side
    478.52x = 192,767.26
  5. Step 5: Solve for x
    x = 192,767.26/478.52
  6. Step 6: Final answer
    x = 402.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.