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Finding the Fourth Proportional to 586.65, 880.17 and 240.20

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Solution

The fourth proportional to 586.65, 880.17 and 240.20 is: 360.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.65 : 880.17 = 240.20 : x
  2. Step 2: Convert to fraction form
    586.65/880.17 = 240.20/x
  3. Step 3: Cross multiply
    586.65x = 880.17 × 240.20
  4. Step 4: Simplify right side
    586.65x = 211,414.83
  5. Step 5: Solve for x
    x = 211,414.83/586.65
  6. Step 6: Final answer
    x = 360.37

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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.