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Finding the Fourth Proportional to 502.32, 753.46 and 287.40

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Solution

The fourth proportional to 502.32, 753.46 and 287.40 is: 431.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.32 : 753.46 = 287.40 : x
  2. Step 2: Convert to fraction form
    502.32/753.46 = 287.40/x
  3. Step 3: Cross multiply
    502.32x = 753.46 × 287.40
  4. Step 4: Simplify right side
    502.32x = 216,544.40
  5. Step 5: Solve for x
    x = 216,544.40/502.32
  6. Step 6: Final answer
    x = 431.09

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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.