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Finding the Fourth Proportional to 522, 782.91 and 213.77

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Solution

The fourth proportional to 522, 782.91 and 213.77 is: 320.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    522 : 782.91 = 213.77 : x
  2. Step 2: Convert to fraction form
    522/782.91 = 213.77/x
  3. Step 3: Cross multiply
    522x = 782.91 × 213.77
  4. Step 4: Simplify right side
    522x = 167,364.63
  5. Step 5: Solve for x
    x = 167,364.63/522
  6. Step 6: Final answer
    x = 320.62

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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.