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Finding the Fourth Proportional to 556.31, 834.96 and 296.52

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Solution

The fourth proportional to 556.31, 834.96 and 296.52 is: 445.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.31 : 834.96 = 296.52 : x
  2. Step 2: Convert to fraction form
    556.31/834.96 = 296.52/x
  3. Step 3: Cross multiply
    556.31x = 834.96 × 296.52
  4. Step 4: Simplify right side
    556.31x = 247,582.34
  5. Step 5: Solve for x
    x = 247,582.34/556.31
  6. Step 6: Final answer
    x = 445.05

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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.