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Finding the Fourth Proportional to 502.40, 752.36 and 285.56

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Solution

The fourth proportional to 502.40, 752.36 and 285.56 is: 427.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.40 : 752.36 = 285.56 : x
  2. Step 2: Convert to fraction form
    502.40/752.36 = 285.56/x
  3. Step 3: Cross multiply
    502.40x = 752.36 × 285.56
  4. Step 4: Simplify right side
    502.40x = 214,843.92
  5. Step 5: Solve for x
    x = 214,843.92/502.40
  6. Step 6: Final answer
    x = 427.64

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Why These Related Problems?

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