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Finding the Fourth Proportional to 438.69, 656.62 and 240.75

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Solution

The fourth proportional to 438.69, 656.62 and 240.75 is: 360.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.69 : 656.62 = 240.75 : x
  2. Step 2: Convert to fraction form
    438.69/656.62 = 240.75/x
  3. Step 3: Cross multiply
    438.69x = 656.62 × 240.75
  4. Step 4: Simplify right side
    438.69x = 158,080.66
  5. Step 5: Solve for x
    x = 158,080.66/438.69
  6. Step 6: Final answer
    x = 360.35

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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.