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Finding the Fourth Proportional to 557.91, 834.73 and 314.62

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Solution

The fourth proportional to 557.91, 834.73 and 314.62 is: 470.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.91 : 834.73 = 314.62 : x
  2. Step 2: Convert to fraction form
    557.91/834.73 = 314.62/x
  3. Step 3: Cross multiply
    557.91x = 834.73 × 314.62
  4. Step 4: Simplify right side
    557.91x = 262,619.88
  5. Step 5: Solve for x
    x = 262,619.88/557.91
  6. Step 6: Final answer
    x = 470.72

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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.