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Finding the Fourth Proportional to 522.17, 784.13 and 349.94

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Solution

The fourth proportional to 522.17, 784.13 and 349.94 is: 525.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.17 : 784.13 = 349.94 : x
  2. Step 2: Convert to fraction form
    522.17/784.13 = 349.94/x
  3. Step 3: Cross multiply
    522.17x = 784.13 × 349.94
  4. Step 4: Simplify right side
    522.17x = 274,398.45
  5. Step 5: Solve for x
    x = 274,398.45/522.17
  6. Step 6: Final answer
    x = 525.50

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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.