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Finding the Fourth Proportional to 579.38, 868.70 and 384.16

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Solution

The fourth proportional to 579.38, 868.70 and 384.16 is: 575.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.38 : 868.70 = 384.16 : x
  2. Step 2: Convert to fraction form
    579.38/868.70 = 384.16/x
  3. Step 3: Cross multiply
    579.38x = 868.70 × 384.16
  4. Step 4: Simplify right side
    579.38x = 333,719.79
  5. Step 5: Solve for x
    x = 333,719.79/579.38
  6. Step 6: Final answer
    x = 575.99

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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.