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Finding the Fourth Proportional to 562.95, 838.11 and 560.25

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Solution

The fourth proportional to 562.95, 838.11 and 560.25 is: 834.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.95 : 838.11 = 560.25 : x
  2. Step 2: Convert to fraction form
    562.95/838.11 = 560.25/x
  3. Step 3: Cross multiply
    562.95x = 838.11 × 560.25
  4. Step 4: Simplify right side
    562.95x = 469,551.13
  5. Step 5: Solve for x
    x = 469,551.13/562.95
  6. Step 6: Final answer
    x = 834.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.