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Finding the Fourth Proportional to 513.44, 706.44 and 499.76

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Solution

The fourth proportional to 513.44, 706.44 and 499.76 is: 687.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.44 : 706.44 = 499.76 : x
  2. Step 2: Convert to fraction form
    513.44/706.44 = 499.76/x
  3. Step 3: Cross multiply
    513.44x = 706.44 × 499.76
  4. Step 4: Simplify right side
    513.44x = 353,050.45
  5. Step 5: Solve for x
    x = 353,050.45/513.44
  6. Step 6: Final answer
    x = 687.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.