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Finding the Fourth Proportional to 581.22, 801.92 and 332.46

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Solution

The fourth proportional to 581.22, 801.92 and 332.46 is: 458.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.22 : 801.92 = 332.46 : x
  2. Step 2: Convert to fraction form
    581.22/801.92 = 332.46/x
  3. Step 3: Cross multiply
    581.22x = 801.92 × 332.46
  4. Step 4: Simplify right side
    581.22x = 266,606.32
  5. Step 5: Solve for x
    x = 266,606.32/581.22
  6. Step 6: Final answer
    x = 458.70

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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.