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Finding the Fourth Proportional to 437.96, 656.85 and 145.46

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Solution

The fourth proportional to 437.96, 656.85 and 145.46 is: 218.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.96 : 656.85 = 145.46 : x
  2. Step 2: Convert to fraction form
    437.96/656.85 = 145.46/x
  3. Step 3: Cross multiply
    437.96x = 656.85 × 145.46
  4. Step 4: Simplify right side
    437.96x = 95,545.40
  5. Step 5: Solve for x
    x = 95,545.40/437.96
  6. Step 6: Final answer
    x = 218.16

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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.