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Finding the Fourth Proportional to 580.52, 800.12 and 553.18

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Solution

The fourth proportional to 580.52, 800.12 and 553.18 is: 762.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.52 : 800.12 = 553.18 : x
  2. Step 2: Convert to fraction form
    580.52/800.12 = 553.18/x
  3. Step 3: Cross multiply
    580.52x = 800.12 × 553.18
  4. Step 4: Simplify right side
    580.52x = 442,610.38
  5. Step 5: Solve for x
    x = 442,610.38/580.52
  6. Step 6: Final answer
    x = 762.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.