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Finding the Fourth Proportional to 586.91, 880.34 and 240.14

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Solution

The fourth proportional to 586.91, 880.34 and 240.14 is: 360.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.91 : 880.34 = 240.14 : x
  2. Step 2: Convert to fraction form
    586.91/880.34 = 240.14/x
  3. Step 3: Cross multiply
    586.91x = 880.34 × 240.14
  4. Step 4: Simplify right side
    586.91x = 211,405.85
  5. Step 5: Solve for x
    x = 211,405.85/586.91
  6. Step 6: Final answer
    x = 360.20

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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.