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Finding the Fourth Proportional to 397.83, 549.13 and 257.95

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Solution

The fourth proportional to 397.83, 549.13 and 257.95 is: 356.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.83 : 549.13 = 257.95 : x
  2. Step 2: Convert to fraction form
    397.83/549.13 = 257.95/x
  3. Step 3: Cross multiply
    397.83x = 549.13 × 257.95
  4. Step 4: Simplify right side
    397.83x = 141,648.08
  5. Step 5: Solve for x
    x = 141,648.08/397.83
  6. Step 6: Final answer
    x = 356.05

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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.