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Finding the Fourth Proportional to 437.80, 656.80 and 242.90

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Solution

The fourth proportional to 437.80, 656.80 and 242.90 is: 364.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.80 : 656.80 = 242.90 : x
  2. Step 2: Convert to fraction form
    437.80/656.80 = 242.90/x
  3. Step 3: Cross multiply
    437.80x = 656.80 × 242.90
  4. Step 4: Simplify right side
    437.80x = 159,536.72
  5. Step 5: Solve for x
    x = 159,536.72/437.80
  6. Step 6: Final answer
    x = 364.41

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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.