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Finding the Fourth Proportional to 478.64, 713.92 and 402.08

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Solution

The fourth proportional to 478.64, 713.92 and 402.08 is: 599.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.64 : 713.92 = 402.08 : x
  2. Step 2: Convert to fraction form
    478.64/713.92 = 402.08/x
  3. Step 3: Cross multiply
    478.64x = 713.92 × 402.08
  4. Step 4: Simplify right side
    478.64x = 287,052.95
  5. Step 5: Solve for x
    x = 287,052.95/478.64
  6. Step 6: Final answer
    x = 599.73

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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.