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Finding the Fourth Proportional to 581.20, 872.08 and 292.84

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Solution

The fourth proportional to 581.20, 872.08 and 292.84 is: 439.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.20 : 872.08 = 292.84 : x
  2. Step 2: Convert to fraction form
    581.20/872.08 = 292.84/x
  3. Step 3: Cross multiply
    581.20x = 872.08 × 292.84
  4. Step 4: Simplify right side
    581.20x = 255,379.91
  5. Step 5: Solve for x
    x = 255,379.91/581.20
  6. Step 6: Final answer
    x = 439.40

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