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Finding the Fourth Proportional to 581.14, 869.62 and 500.94

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Solution

The fourth proportional to 581.14, 869.62 and 500.94 is: 749.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.14 : 869.62 = 500.94 : x
  2. Step 2: Convert to fraction form
    581.14/869.62 = 500.94/x
  3. Step 3: Cross multiply
    581.14x = 869.62 × 500.94
  4. Step 4: Simplify right side
    581.14x = 435,627.44
  5. Step 5: Solve for x
    x = 435,627.44/581.14
  6. Step 6: Final answer
    x = 749.61

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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.