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Finding the Fourth Proportional to 397.88, 549.36 and 258.20

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Solution

The fourth proportional to 397.88, 549.36 and 258.20 is: 356.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.88 : 549.36 = 258.20 : x
  2. Step 2: Convert to fraction form
    397.88/549.36 = 258.20/x
  3. Step 3: Cross multiply
    397.88x = 549.36 × 258.20
  4. Step 4: Simplify right side
    397.88x = 141,844.75
  5. Step 5: Solve for x
    x = 141,844.75/397.88
  6. Step 6: Final answer
    x = 356.50

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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.