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Finding the Fourth Proportional to 562.54, 844.08 and 482.62

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Solution

The fourth proportional to 562.54, 844.08 and 482.62 is: 724.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.54 : 844.08 = 482.62 : x
  2. Step 2: Convert to fraction form
    562.54/844.08 = 482.62/x
  3. Step 3: Cross multiply
    562.54x = 844.08 × 482.62
  4. Step 4: Simplify right side
    562.54x = 407,369.89
  5. Step 5: Solve for x
    x = 407,369.89/562.54
  6. Step 6: Final answer
    x = 724.16

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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.