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Finding the Fourth Proportional to 579.98, 869.32 and 442.57

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Solution

The fourth proportional to 579.98, 869.32 and 442.57 is: 663.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.98 : 869.32 = 442.57 : x
  2. Step 2: Convert to fraction form
    579.98/869.32 = 442.57/x
  3. Step 3: Cross multiply
    579.98x = 869.32 × 442.57
  4. Step 4: Simplify right side
    579.98x = 384,734.95
  5. Step 5: Solve for x
    x = 384,734.95/579.98
  6. Step 6: Final answer
    x = 663.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.