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Finding the Fourth Proportional to 363.93, 546.35 and 287.15

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Solution

The fourth proportional to 363.93, 546.35 and 287.15 is: 431.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.93 : 546.35 = 287.15 : x
  2. Step 2: Convert to fraction form
    363.93/546.35 = 287.15/x
  3. Step 3: Cross multiply
    363.93x = 546.35 × 287.15
  4. Step 4: Simplify right side
    363.93x = 156,880.24
  5. Step 5: Solve for x
    x = 156,880.24/363.93
  6. Step 6: Final answer
    x = 431.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.