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Finding the Fourth Proportional to 556.56, 834.06 and 434.28

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Solution

The fourth proportional to 556.56, 834.06 and 434.28 is: 650.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.56 : 834.06 = 434.28 : x
  2. Step 2: Convert to fraction form
    556.56/834.06 = 434.28/x
  3. Step 3: Cross multiply
    556.56x = 834.06 × 434.28
  4. Step 4: Simplify right side
    556.56x = 362,215.58
  5. Step 5: Solve for x
    x = 362,215.58/556.56
  6. Step 6: Final answer
    x = 650.81

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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.