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Finding the Fourth Proportional to 471.28, 703.46 and 437.44

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Solution

The fourth proportional to 471.28, 703.46 and 437.44 is: 652.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.28 : 703.46 = 437.44 : x
  2. Step 2: Convert to fraction form
    471.28/703.46 = 437.44/x
  3. Step 3: Cross multiply
    471.28x = 703.46 × 437.44
  4. Step 4: Simplify right side
    471.28x = 307,721.54
  5. Step 5: Solve for x
    x = 307,721.54/471.28
  6. Step 6: Final answer
    x = 652.95

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.