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Finding the Fourth Proportional to 522.16, 782.62 and 213.82

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Solution

The fourth proportional to 522.16, 782.62 and 213.82 is: 320.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.16 : 782.62 = 213.82 : x
  2. Step 2: Convert to fraction form
    522.16/782.62 = 213.82/x
  3. Step 3: Cross multiply
    522.16x = 782.62 × 213.82
  4. Step 4: Simplify right side
    522.16x = 167,339.81
  5. Step 5: Solve for x
    x = 167,339.81/522.16
  6. Step 6: Final answer
    x = 320.48

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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.