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Finding the Fourth Proportional to 581.11, 801.83 and 332.40

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Solution

The fourth proportional to 581.11, 801.83 and 332.40 is: 458.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.11 : 801.83 = 332.40 : x
  2. Step 2: Convert to fraction form
    581.11/801.83 = 332.40/x
  3. Step 3: Cross multiply
    581.11x = 801.83 × 332.40
  4. Step 4: Simplify right side
    581.11x = 266,532.13
  5. Step 5: Solve for x
    x = 266,532.13/581.11
  6. Step 6: Final answer
    x = 458.66

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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.