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Finding the Fourth Proportional to 556.61, 834.23 and 401.69

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Solution

The fourth proportional to 556.61, 834.23 and 401.69 is: 602.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.61 : 834.23 = 401.69 : x
  2. Step 2: Convert to fraction form
    556.61/834.23 = 401.69/x
  3. Step 3: Cross multiply
    556.61x = 834.23 × 401.69
  4. Step 4: Simplify right side
    556.61x = 335,104.94
  5. Step 5: Solve for x
    x = 335,104.94/556.61
  6. Step 6: Final answer
    x = 602.05

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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.