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Finding the Fourth Proportional to 398.37, 549.53 and 258.29

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Solution

The fourth proportional to 398.37, 549.53 and 258.29 is: 356.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.37 : 549.53 = 258.29 : x
  2. Step 2: Convert to fraction form
    398.37/549.53 = 258.29/x
  3. Step 3: Cross multiply
    398.37x = 549.53 × 258.29
  4. Step 4: Simplify right side
    398.37x = 141,938.10
  5. Step 5: Solve for x
    x = 141,938.10/398.37
  6. Step 6: Final answer
    x = 356.30

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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.