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Finding the Fourth Proportional to 521.91, 782.94 and 156.65

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Solution

The fourth proportional to 521.91, 782.94 and 156.65 is: 234.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.91 : 782.94 = 156.65 : x
  2. Step 2: Convert to fraction form
    521.91/782.94 = 156.65/x
  3. Step 3: Cross multiply
    521.91x = 782.94 × 156.65
  4. Step 4: Simplify right side
    521.91x = 122,643.64
  5. Step 5: Solve for x
    x = 122,643.64/521.91
  6. Step 6: Final answer
    x = 234.99

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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.