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Finding the Fourth Proportional to 353.28, 526.92 and 346.80

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Solution

The fourth proportional to 353.28, 526.92 and 346.80 is: 517.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.28 : 526.92 = 346.80 : x
  2. Step 2: Convert to fraction form
    353.28/526.92 = 346.80/x
  3. Step 3: Cross multiply
    353.28x = 526.92 × 346.80
  4. Step 4: Simplify right side
    353.28x = 182,735.86
  5. Step 5: Solve for x
    x = 182,735.86/353.28
  6. Step 6: Final answer
    x = 517.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.