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Finding the Fourth Proportional to 351.02, 526.23 and 278.73

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Solution

The fourth proportional to 351.02, 526.23 and 278.73 is: 417.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.02 : 526.23 = 278.73 : x
  2. Step 2: Convert to fraction form
    351.02/526.23 = 278.73/x
  3. Step 3: Cross multiply
    351.02x = 526.23 × 278.73
  4. Step 4: Simplify right side
    351.02x = 146,676.09
  5. Step 5: Solve for x
    x = 146,676.09/351.02
  6. Step 6: Final answer
    x = 417.86

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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.