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Finding the Fourth Proportional to 378.46, 568.37 and 318.39

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Solution

The fourth proportional to 378.46, 568.37 and 318.39 is: 478.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.46 : 568.37 = 318.39 : x
  2. Step 2: Convert to fraction form
    378.46/568.37 = 318.39/x
  3. Step 3: Cross multiply
    378.46x = 568.37 × 318.39
  4. Step 4: Simplify right side
    378.46x = 180,963.32
  5. Step 5: Solve for x
    x = 180,963.32/378.46
  6. Step 6: Final answer
    x = 478.16

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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.