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Finding the Fourth Proportional to 659.31, 909.60 and 438.50

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Solution

The fourth proportional to 659.31, 909.60 and 438.50 is: 604.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.31 : 909.60 = 438.50 : x
  2. Step 2: Convert to fraction form
    659.31/909.60 = 438.50/x
  3. Step 3: Cross multiply
    659.31x = 909.60 × 438.50
  4. Step 4: Simplify right side
    659.31x = 398,855.05
  5. Step 5: Solve for x
    x = 398,855.05/659.31
  6. Step 6: Final answer
    x = 604.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.