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Finding the Fourth Proportional to 562.44, 844.57 and 347.38

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Solution

The fourth proportional to 562.44, 844.57 and 347.38 is: 521.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.44 : 844.57 = 347.38 : x
  2. Step 2: Convert to fraction form
    562.44/844.57 = 347.38/x
  3. Step 3: Cross multiply
    562.44x = 844.57 × 347.38
  4. Step 4: Simplify right side
    562.44x = 293,386.73
  5. Step 5: Solve for x
    x = 293,386.73/562.44
  6. Step 6: Final answer
    x = 521.63

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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.