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Finding the Fourth Proportional to 556.92, 834.32 and 313.56

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Solution

The fourth proportional to 556.92, 834.32 and 313.56 is: 469.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.92 : 834.32 = 313.56 : x
  2. Step 2: Convert to fraction form
    556.92/834.32 = 313.56/x
  3. Step 3: Cross multiply
    556.92x = 834.32 × 313.56
  4. Step 4: Simplify right side
    556.92x = 261,609.38
  5. Step 5: Solve for x
    x = 261,609.38/556.92
  6. Step 6: Final answer
    x = 469.74

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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.