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Finding the Fourth Proportional to 579.32, 868.95 and 146.46

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Solution

The fourth proportional to 579.32, 868.95 and 146.46 is: 219.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.32 : 868.95 = 146.46 : x
  2. Step 2: Convert to fraction form
    579.32/868.95 = 146.46/x
  3. Step 3: Cross multiply
    579.32x = 868.95 × 146.46
  4. Step 4: Simplify right side
    579.32x = 127,266.42
  5. Step 5: Solve for x
    x = 127,266.42/579.32
  6. Step 6: Final answer
    x = 219.68

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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.