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Finding the Fourth Proportional to 378.52, 565.68 and 281.24

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Solution

The fourth proportional to 378.52, 565.68 and 281.24 is: 420.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.52 : 565.68 = 281.24 : x
  2. Step 2: Convert to fraction form
    378.52/565.68 = 281.24/x
  3. Step 3: Cross multiply
    378.52x = 565.68 × 281.24
  4. Step 4: Simplify right side
    378.52x = 159,091.84
  5. Step 5: Solve for x
    x = 159,091.84/378.52
  6. Step 6: Final answer
    x = 420.30

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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.