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Finding the Fourth Proportional to 663.99, 996.65 and 457.84

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Solution

The fourth proportional to 663.99, 996.65 and 457.84 is: 687.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.99 : 996.65 = 457.84 : x
  2. Step 2: Convert to fraction form
    663.99/996.65 = 457.84/x
  3. Step 3: Cross multiply
    663.99x = 996.65 × 457.84
  4. Step 4: Simplify right side
    663.99x = 456,306.24
  5. Step 5: Solve for x
    x = 456,306.24/663.99
  6. Step 6: Final answer
    x = 687.22

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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.