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Finding the Fourth Proportional to 522.95, 784.31 and 314.78

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Solution

The fourth proportional to 522.95, 784.31 and 314.78 is: 472.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.95 : 784.31 = 314.78 : x
  2. Step 2: Convert to fraction form
    522.95/784.31 = 314.78/x
  3. Step 3: Cross multiply
    522.95x = 784.31 × 314.78
  4. Step 4: Simplify right side
    522.95x = 246,879.61
  5. Step 5: Solve for x
    x = 246,879.61/522.95
  6. Step 6: Final answer
    x = 472.09

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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.