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Finding the Fourth Proportional to 981.36, 1,471.10 and 331.64

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Solution

The fourth proportional to 981.36, 1,471.10 and 331.64 is: 497.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.36 : 1,471.10 = 331.64 : x
  2. Step 2: Convert to fraction form
    981.36/1,471.10 = 331.64/x
  3. Step 3: Cross multiply
    981.36x = 1,471.10 × 331.64
  4. Step 4: Simplify right side
    981.36x = 487,875.60
  5. Step 5: Solve for x
    x = 487,875.60/981.36
  6. Step 6: Final answer
    x = 497.14

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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.