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Finding the Fourth Proportional to 562.47, 844.26 and 254.67

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Solution

The fourth proportional to 562.47, 844.26 and 254.67 is: 382.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.47 : 844.26 = 254.67 : x
  2. Step 2: Convert to fraction form
    562.47/844.26 = 254.67/x
  3. Step 3: Cross multiply
    562.47x = 844.26 × 254.67
  4. Step 4: Simplify right side
    562.47x = 215,007.69
  5. Step 5: Solve for x
    x = 215,007.69/562.47
  6. Step 6: Final answer
    x = 382.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.