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Finding the Fourth Proportional to 680.81, 938.06 and 459.38

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Solution

The fourth proportional to 680.81, 938.06 and 459.38 is: 632.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.81 : 938.06 = 459.38 : x
  2. Step 2: Convert to fraction form
    680.81/938.06 = 459.38/x
  3. Step 3: Cross multiply
    680.81x = 938.06 × 459.38
  4. Step 4: Simplify right side
    680.81x = 430,919.02
  5. Step 5: Solve for x
    x = 430,919.02/680.81
  6. Step 6: Final answer
    x = 632.96

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1.5x scale

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.