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Finding the Fourth Proportional to 580.88, 801.06 and 538.46

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Solution

The fourth proportional to 580.88, 801.06 and 538.46 is: 742.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.88 : 801.06 = 538.46 : x
  2. Step 2: Convert to fraction form
    580.88/801.06 = 538.46/x
  3. Step 3: Cross multiply
    580.88x = 801.06 × 538.46
  4. Step 4: Simplify right side
    580.88x = 431,338.77
  5. Step 5: Solve for x
    x = 431,338.77/580.88
  6. Step 6: Final answer
    x = 742.56

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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.