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Finding the Fourth Proportional to 397.68, 549.24 and 392.28

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Solution

The fourth proportional to 397.68, 549.24 and 392.28 is: 541.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.68 : 549.24 = 392.28 : x
  2. Step 2: Convert to fraction form
    397.68/549.24 = 392.28/x
  3. Step 3: Cross multiply
    397.68x = 549.24 × 392.28
  4. Step 4: Simplify right side
    397.68x = 215,455.87
  5. Step 5: Solve for x
    x = 215,455.87/397.68
  6. Step 6: Final answer
    x = 541.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.