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Finding the Fourth Proportional to 397.82, 549.00 and 257.99

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Solution

The fourth proportional to 397.82, 549.00 and 257.99 is: 356.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.82 : 549.00 = 257.99 : x
  2. Step 2: Convert to fraction form
    397.82/549.00 = 257.99/x
  3. Step 3: Cross multiply
    397.82x = 549.00 × 257.99
  4. Step 4: Simplify right side
    397.82x = 141,635.22
  5. Step 5: Solve for x
    x = 141,635.22/397.82
  6. Step 6: Final answer
    x = 356.03

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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.