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Finding the Fourth Proportional to 535.60, 738.74 and 348.74

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Solution

The fourth proportional to 535.60, 738.74 and 348.74 is: 481.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.60 : 738.74 = 348.74 : x
  2. Step 2: Convert to fraction form
    535.60/738.74 = 348.74/x
  3. Step 3: Cross multiply
    535.60x = 738.74 × 348.74
  4. Step 4: Simplify right side
    535.60x = 257,630.91
  5. Step 5: Solve for x
    x = 257,630.91/535.60
  6. Step 6: Final answer
    x = 481.02

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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.