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Finding the Fourth Proportional to 580.32, 801.20 and 425.44

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Solution

The fourth proportional to 580.32, 801.20 and 425.44 is: 587.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.32 : 801.20 = 425.44 : x
  2. Step 2: Convert to fraction form
    580.32/801.20 = 425.44/x
  3. Step 3: Cross multiply
    580.32x = 801.20 × 425.44
  4. Step 4: Simplify right side
    580.32x = 340,862.53
  5. Step 5: Solve for x
    x = 340,862.53/580.32
  6. Step 6: Final answer
    x = 587.37

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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.