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Finding the Fourth Proportional to 578.80, 871.68 and 546.40

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Solution

The fourth proportional to 578.80, 871.68 and 546.40 is: 822.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.80 : 871.68 = 546.40 : x
  2. Step 2: Convert to fraction form
    578.80/871.68 = 546.40/x
  3. Step 3: Cross multiply
    578.80x = 871.68 × 546.40
  4. Step 4: Simplify right side
    578.80x = 476,285.95
  5. Step 5: Solve for x
    x = 476,285.95/578.80
  6. Step 6: Final answer
    x = 822.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.