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Finding the Fourth Proportional to 398.16, 549.81 and 258.50

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Solution

The fourth proportional to 398.16, 549.81 and 258.50 is: 356.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.16 : 549.81 = 258.50 : x
  2. Step 2: Convert to fraction form
    398.16/549.81 = 258.50/x
  3. Step 3: Cross multiply
    398.16x = 549.81 × 258.50
  4. Step 4: Simplify right side
    398.16x = 142,125.89
  5. Step 5: Solve for x
    x = 142,125.89/398.16
  6. Step 6: Final answer
    x = 356.96

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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.