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Finding the Fourth Proportional to 521.64, 782.23 and 174.88

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Solution

The fourth proportional to 521.64, 782.23 and 174.88 is: 262.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.64 : 782.23 = 174.88 : x
  2. Step 2: Convert to fraction form
    521.64/782.23 = 174.88/x
  3. Step 3: Cross multiply
    521.64x = 782.23 × 174.88
  4. Step 4: Simplify right side
    521.64x = 136,796.38
  5. Step 5: Solve for x
    x = 136,796.38/521.64
  6. Step 6: Final answer
    x = 262.24

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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.