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Finding the Fourth Proportional to 581.34, 869.61 and 532.22

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Solution

The fourth proportional to 581.34, 869.61 and 532.22 is: 796.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.34 : 869.61 = 532.22 : x
  2. Step 2: Convert to fraction form
    581.34/869.61 = 532.22/x
  3. Step 3: Cross multiply
    581.34x = 869.61 × 532.22
  4. Step 4: Simplify right side
    581.34x = 462,823.83
  5. Step 5: Solve for x
    x = 462,823.83/581.34
  6. Step 6: Final answer
    x = 796.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.