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Finding the Fourth Proportional to 513.83, 771.08 and 282.88

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Solution

The fourth proportional to 513.83, 771.08 and 282.88 is: 424.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.83 : 771.08 = 282.88 : x
  2. Step 2: Convert to fraction form
    513.83/771.08 = 282.88/x
  3. Step 3: Cross multiply
    513.83x = 771.08 × 282.88
  4. Step 4: Simplify right side
    513.83x = 218,123.11
  5. Step 5: Solve for x
    x = 218,123.11/513.83
  6. Step 6: Final answer
    x = 424.50

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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.