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Finding the Fourth Proportional to 659, 988.82 and 442.15

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Solution

The fourth proportional to 659, 988.82 and 442.15 is: 663.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    659 : 988.82 = 442.15 : x
  2. Step 2: Convert to fraction form
    659/988.82 = 442.15/x
  3. Step 3: Cross multiply
    659x = 988.82 × 442.15
  4. Step 4: Simplify right side
    659x = 437,206.76
  5. Step 5: Solve for x
    x = 437,206.76/659
  6. Step 6: Final answer
    x = 663.44

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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.