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Finding the Fourth Proportional to 351.79, 526.11 and 264.01

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Solution

The fourth proportional to 351.79, 526.11 and 264.01 is: 394.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.79 : 526.11 = 264.01 : x
  2. Step 2: Convert to fraction form
    351.79/526.11 = 264.01/x
  3. Step 3: Cross multiply
    351.79x = 526.11 × 264.01
  4. Step 4: Simplify right side
    351.79x = 138,898.30
  5. Step 5: Solve for x
    x = 138,898.30/351.79
  6. Step 6: Final answer
    x = 394.83

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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.