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Finding the Fourth Proportional to 556.32, 834.18 and 282.30

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Solution

The fourth proportional to 556.32, 834.18 and 282.30 is: 423.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.32 : 834.18 = 282.30 : x
  2. Step 2: Convert to fraction form
    556.32/834.18 = 282.30/x
  3. Step 3: Cross multiply
    556.32x = 834.18 × 282.30
  4. Step 4: Simplify right side
    556.32x = 235,489.01
  5. Step 5: Solve for x
    x = 235,489.01/556.32
  6. Step 6: Final answer
    x = 423.30

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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.