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Finding the Fourth Proportional to 471.68, 711.50 and 446.78

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Solution

The fourth proportional to 471.68, 711.50 and 446.78 is: 673.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.68 : 711.50 = 446.78 : x
  2. Step 2: Convert to fraction form
    471.68/711.50 = 446.78/x
  3. Step 3: Cross multiply
    471.68x = 711.50 × 446.78
  4. Step 4: Simplify right side
    471.68x = 317,878.18
  5. Step 5: Solve for x
    x = 317,878.18/471.68
  6. Step 6: Final answer
    x = 673.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.