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Finding the Fourth Proportional to 397.96, 549.32 and 257.96

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Solution

The fourth proportional to 397.96, 549.32 and 257.96 is: 356.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.96 : 549.32 = 257.96 : x
  2. Step 2: Convert to fraction form
    397.96/549.32 = 257.96/x
  3. Step 3: Cross multiply
    397.96x = 549.32 × 257.96
  4. Step 4: Simplify right side
    397.96x = 141,702.67
  5. Step 5: Solve for x
    x = 141,702.67/397.96
  6. Step 6: Final answer
    x = 356.07

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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.