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Finding the Fourth Proportional to 535.20, 737.76 and 348.66

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Solution

The fourth proportional to 535.20, 737.76 and 348.66 is: 480.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.20 : 737.76 = 348.66 : x
  2. Step 2: Convert to fraction form
    535.20/737.76 = 348.66/x
  3. Step 3: Cross multiply
    535.20x = 737.76 × 348.66
  4. Step 4: Simplify right side
    535.20x = 257,227.40
  5. Step 5: Solve for x
    x = 257,227.40/535.20
  6. Step 6: Final answer
    x = 480.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.