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Finding the Fourth Proportional to 472.14, 711 and 411.98

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Solution

The fourth proportional to 472.14, 711 and 411.98 is: 620.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.14 : 711 = 411.98 : x
  2. Step 2: Convert to fraction form
    472.14/711 = 411.98/x
  3. Step 3: Cross multiply
    472.14x = 711 × 411.98
  4. Step 4: Simplify right side
    472.14x = 292,914.23
  5. Step 5: Solve for x
    x = 292,914.23/472.14
  6. Step 6: Final answer
    x = 620.40

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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.