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Finding the Fourth Proportional to 580.82, 801.60 and 332.16

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Solution

The fourth proportional to 580.82, 801.60 and 332.16 is: 458.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.82 : 801.60 = 332.16 : x
  2. Step 2: Convert to fraction form
    580.82/801.60 = 332.16/x
  3. Step 3: Cross multiply
    580.82x = 801.60 × 332.16
  4. Step 4: Simplify right side
    580.82x = 266,260.84
  5. Step 5: Solve for x
    x = 266,260.84/580.82
  6. Step 6: Final answer
    x = 458.42

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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.