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Finding the Fourth Proportional to 522.17, 782.27 and 348.30

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Solution

The fourth proportional to 522.17, 782.27 and 348.30 is: 521.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.17 : 782.27 = 348.30 : x
  2. Step 2: Convert to fraction form
    522.17/782.27 = 348.30/x
  3. Step 3: Cross multiply
    522.17x = 782.27 × 348.30
  4. Step 4: Simplify right side
    522.17x = 272,462.90
  5. Step 5: Solve for x
    x = 272,462.90/522.17
  6. Step 6: Final answer
    x = 521.79

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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.