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Finding the Fourth Proportional to 473.40, 711 and 471.78

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Solution

The fourth proportional to 473.40, 711 and 471.78 is: 708.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.40 : 711 = 471.78 : x
  2. Step 2: Convert to fraction form
    473.40/711 = 471.78/x
  3. Step 3: Cross multiply
    473.40x = 711 × 471.78
  4. Step 4: Simplify right side
    473.40x = 335,435.58
  5. Step 5: Solve for x
    x = 335,435.58/473.40
  6. Step 6: Final answer
    x = 708.57

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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.