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Finding the Fourth Proportional to 711, 981.22 and 400.52

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Solution

The fourth proportional to 711, 981.22 and 400.52 is: 552.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    711 : 981.22 = 400.52 : x
  2. Step 2: Convert to fraction form
    711/981.22 = 400.52/x
  3. Step 3: Cross multiply
    711x = 981.22 × 400.52
  4. Step 4: Simplify right side
    711x = 392,998.23
  5. Step 5: Solve for x
    x = 392,998.23/711
  6. Step 6: Final answer
    x = 552.74

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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.