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Finding the Fourth Proportional to 711.15, 981.34 and 431.78

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Solution

The fourth proportional to 711.15, 981.34 and 431.78 is: 595.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.15 : 981.34 = 431.78 : x
  2. Step 2: Convert to fraction form
    711.15/981.34 = 431.78/x
  3. Step 3: Cross multiply
    711.15x = 981.34 × 431.78
  4. Step 4: Simplify right side
    711.15x = 423,723.73
  5. Step 5: Solve for x
    x = 423,723.73/711.15
  6. Step 6: Final answer
    x = 595.82

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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.