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Finding the Fourth Proportional to 521.64, 781.65 and 213.23

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Solution

The fourth proportional to 521.64, 781.65 and 213.23 is: 319.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.64 : 781.65 = 213.23 : x
  2. Step 2: Convert to fraction form
    521.64/781.65 = 213.23/x
  3. Step 3: Cross multiply
    521.64x = 781.65 × 213.23
  4. Step 4: Simplify right side
    521.64x = 166,673.18
  5. Step 5: Solve for x
    x = 166,673.18/521.64
  6. Step 6: Final answer
    x = 319.52

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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.