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Finding the Fourth Proportional to 579.30, 868.85 and 214.00

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Solution

The fourth proportional to 579.30, 868.85 and 214.00 is: 320.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.30 : 868.85 = 214.00 : x
  2. Step 2: Convert to fraction form
    579.30/868.85 = 214.00/x
  3. Step 3: Cross multiply
    579.30x = 868.85 × 214.00
  4. Step 4: Simplify right side
    579.30x = 185,931.46
  5. Step 5: Solve for x
    x = 185,931.46/579.30
  6. Step 6: Final answer
    x = 320.96

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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.