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Finding the Fourth Proportional to 473.70, 711 and 397.14

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Solution

The fourth proportional to 473.70, 711 and 397.14 is: 596.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.70 : 711 = 397.14 : x
  2. Step 2: Convert to fraction form
    473.70/711 = 397.14/x
  3. Step 3: Cross multiply
    473.70x = 711 × 397.14
  4. Step 4: Simplify right side
    473.70x = 282,366.54
  5. Step 5: Solve for x
    x = 282,366.54/473.70
  6. Step 6: Final answer
    x = 596.09

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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.