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Finding the Fourth Proportional to 522.62, 784.10 and 176.12

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Solution

The fourth proportional to 522.62, 784.10 and 176.12 is: 264.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.62 : 784.10 = 176.12 : x
  2. Step 2: Convert to fraction form
    522.62/784.10 = 176.12/x
  3. Step 3: Cross multiply
    522.62x = 784.10 × 176.12
  4. Step 4: Simplify right side
    522.62x = 138,092.21
  5. Step 5: Solve for x
    x = 138,092.21/522.62
  6. Step 6: Final answer
    x = 264.23

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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.