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Finding the Fourth Proportional to 363.02, 500.58 and 258.12

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Solution

The fourth proportional to 363.02, 500.58 and 258.12 is: 355.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.02 : 500.58 = 258.12 : x
  2. Step 2: Convert to fraction form
    363.02/500.58 = 258.12/x
  3. Step 3: Cross multiply
    363.02x = 500.58 × 258.12
  4. Step 4: Simplify right side
    363.02x = 129,209.71
  5. Step 5: Solve for x
    x = 129,209.71/363.02
  6. Step 6: Final answer
    x = 355.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.