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Finding the Fourth Proportional to 397.94, 549.08 and 232.16

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Solution

The fourth proportional to 397.94, 549.08 and 232.16 is: 320.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.94 : 549.08 = 232.16 : x
  2. Step 2: Convert to fraction form
    397.94/549.08 = 232.16/x
  3. Step 3: Cross multiply
    397.94x = 549.08 × 232.16
  4. Step 4: Simplify right side
    397.94x = 127,474.41
  5. Step 5: Solve for x
    x = 127,474.41/397.94
  6. Step 6: Final answer
    x = 320.34

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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.