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Finding the Fourth Proportional to 351.56, 526.68 and 282.78

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Solution

The fourth proportional to 351.56, 526.68 and 282.78 is: 423.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.56 : 526.68 = 282.78 : x
  2. Step 2: Convert to fraction form
    351.56/526.68 = 282.78/x
  3. Step 3: Cross multiply
    351.56x = 526.68 × 282.78
  4. Step 4: Simplify right side
    351.56x = 148,934.57
  5. Step 5: Solve for x
    x = 148,934.57/351.56
  6. Step 6: Final answer
    x = 423.64

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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.