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Finding the Fourth Proportional to 337.50, 505.44 and 282.96

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Solution

The fourth proportional to 337.50, 505.44 and 282.96 is: 423.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.50 : 505.44 = 282.96 : x
  2. Step 2: Convert to fraction form
    337.50/505.44 = 282.96/x
  3. Step 3: Cross multiply
    337.50x = 505.44 × 282.96
  4. Step 4: Simplify right side
    337.50x = 143,019.30
  5. Step 5: Solve for x
    x = 143,019.30/337.50
  6. Step 6: Final answer
    x = 423.76

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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.