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Finding the Fourth Proportional to 663.42, 993.33 and 457.74

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Solution

The fourth proportional to 663.42, 993.33 and 457.74 is: 685.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.42 : 993.33 = 457.74 : x
  2. Step 2: Convert to fraction form
    663.42/993.33 = 457.74/x
  3. Step 3: Cross multiply
    663.42x = 993.33 × 457.74
  4. Step 4: Simplify right side
    663.42x = 454,686.87
  5. Step 5: Solve for x
    x = 454,686.87/663.42
  6. Step 6: Final answer
    x = 685.37

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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.