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Finding the Fourth Proportional to 580.82, 801.56 and 332.17

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Solution

The fourth proportional to 580.82, 801.56 and 332.17 is: 458.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.82 : 801.56 = 332.17 : x
  2. Step 2: Convert to fraction form
    580.82/801.56 = 332.17/x
  3. Step 3: Cross multiply
    580.82x = 801.56 × 332.17
  4. Step 4: Simplify right side
    580.82x = 266,253.01
  5. Step 5: Solve for x
    x = 266,253.01/580.82
  6. Step 6: Final answer
    x = 458.41

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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.