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Finding the Fourth Proportional to 562.81, 844.63 and 270.48

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Solution

The fourth proportional to 562.81, 844.63 and 270.48 is: 405.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.81 : 844.63 = 270.48 : x
  2. Step 2: Convert to fraction form
    562.81/844.63 = 270.48/x
  3. Step 3: Cross multiply
    562.81x = 844.63 × 270.48
  4. Step 4: Simplify right side
    562.81x = 228,451.50
  5. Step 5: Solve for x
    x = 228,451.50/562.81
  6. Step 6: Final answer
    x = 405.91

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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.