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Finding the Fourth Proportional to 363.19, 500.70 and 258.34

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Solution

The fourth proportional to 363.19, 500.70 and 258.34 is: 356.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.19 : 500.70 = 258.34 : x
  2. Step 2: Convert to fraction form
    363.19/500.70 = 258.34/x
  3. Step 3: Cross multiply
    363.19x = 500.70 × 258.34
  4. Step 4: Simplify right side
    363.19x = 129,350.84
  5. Step 5: Solve for x
    x = 129,350.84/363.19
  6. Step 6: Final answer
    x = 356.15

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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.