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Finding the Fourth Proportional to 482.64, 724.02 and 174.45

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Solution

The fourth proportional to 482.64, 724.02 and 174.45 is: 261.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.64 : 724.02 = 174.45 : x
  2. Step 2: Convert to fraction form
    482.64/724.02 = 174.45/x
  3. Step 3: Cross multiply
    482.64x = 724.02 × 174.45
  4. Step 4: Simplify right side
    482.64x = 126,305.29
  5. Step 5: Solve for x
    x = 126,305.29/482.64
  6. Step 6: Final answer
    x = 261.70

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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.