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Finding the Fourth Proportional to 478.16, 660.08 and 429.52

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Solution

The fourth proportional to 478.16, 660.08 and 429.52 is: 592.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.16 : 660.08 = 429.52 : x
  2. Step 2: Convert to fraction form
    478.16/660.08 = 429.52/x
  3. Step 3: Cross multiply
    478.16x = 660.08 × 429.52
  4. Step 4: Simplify right side
    478.16x = 283,517.56
  5. Step 5: Solve for x
    x = 283,517.56/478.16
  6. Step 6: Final answer
    x = 592.93

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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.