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Finding the Fourth Proportional to 378.24, 568.16 and 282.64

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Solution

The fourth proportional to 378.24, 568.16 and 282.64 is: 424.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.24 : 568.16 = 282.64 : x
  2. Step 2: Convert to fraction form
    378.24/568.16 = 282.64/x
  3. Step 3: Cross multiply
    378.24x = 568.16 × 282.64
  4. Step 4: Simplify right side
    378.24x = 160,584.74
  5. Step 5: Solve for x
    x = 160,584.74/378.24
  6. Step 6: Final answer
    x = 424.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.