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Finding the Fourth Proportional to 351.74, 526.74 and 262.48

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Solution

The fourth proportional to 351.74, 526.74 and 262.48 is: 393.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.74 : 526.74 = 262.48 : x
  2. Step 2: Convert to fraction form
    351.74/526.74 = 262.48/x
  3. Step 3: Cross multiply
    351.74x = 526.74 × 262.48
  4. Step 4: Simplify right side
    351.74x = 138,258.72
  5. Step 5: Solve for x
    x = 138,258.72/351.74
  6. Step 6: Final answer
    x = 393.07

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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.