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Finding the Fourth Proportional to 579.95, 868.40 and 546.23

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Solution

The fourth proportional to 579.95, 868.40 and 546.23 is: 817.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.95 : 868.40 = 546.23 : x
  2. Step 2: Convert to fraction form
    579.95/868.40 = 546.23/x
  3. Step 3: Cross multiply
    579.95x = 868.40 × 546.23
  4. Step 4: Simplify right side
    579.95x = 474,346.13
  5. Step 5: Solve for x
    x = 474,346.13/579.95
  6. Step 6: Final answer
    x = 817.91

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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.