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Finding the Fourth Proportional to 397.84, 549.07 and 232.05

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Solution

The fourth proportional to 397.84, 549.07 and 232.05 is: 320.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.84 : 549.07 = 232.05 : x
  2. Step 2: Convert to fraction form
    397.84/549.07 = 232.05/x
  3. Step 3: Cross multiply
    397.84x = 549.07 × 232.05
  4. Step 4: Simplify right side
    397.84x = 127,411.69
  5. Step 5: Solve for x
    x = 127,411.69/397.84
  6. Step 6: Final answer
    x = 320.26

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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.