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Finding the Fourth Proportional to 663.99, 916.68 and 516.30

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Solution

The fourth proportional to 663.99, 916.68 and 516.30 is: 712.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.99 : 916.68 = 516.30 : x
  2. Step 2: Convert to fraction form
    663.99/916.68 = 516.30/x
  3. Step 3: Cross multiply
    663.99x = 916.68 × 516.30
  4. Step 4: Simplify right side
    663.99x = 473,281.88
  5. Step 5: Solve for x
    x = 473,281.88/663.99
  6. Step 6: Final answer
    x = 712.78

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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.