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Finding the Fourth Proportional to 521.58, 782.24 and 213.38

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Solution

The fourth proportional to 521.58, 782.24 and 213.38 is: 320.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.58 : 782.24 = 213.38 : x
  2. Step 2: Convert to fraction form
    521.58/782.24 = 213.38/x
  3. Step 3: Cross multiply
    521.58x = 782.24 × 213.38
  4. Step 4: Simplify right side
    521.58x = 166,913.93
  5. Step 5: Solve for x
    x = 166,913.93/521.58
  6. Step 6: Final answer
    x = 320.01

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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.