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Finding the Fourth Proportional to 482.42, 724.61 and 425.93

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Solution

The fourth proportional to 482.42, 724.61 and 425.93 is: 639.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.42 : 724.61 = 425.93 : x
  2. Step 2: Convert to fraction form
    482.42/724.61 = 425.93/x
  3. Step 3: Cross multiply
    482.42x = 724.61 × 425.93
  4. Step 4: Simplify right side
    482.42x = 308,630.58
  5. Step 5: Solve for x
    x = 308,630.58/482.42
  6. Step 6: Final answer
    x = 639.75

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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.