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Finding the Fourth Proportional to 534.78, 738.21 and 359.82

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Solution

The fourth proportional to 534.78, 738.21 and 359.82 is: 496.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.78 : 738.21 = 359.82 : x
  2. Step 2: Convert to fraction form
    534.78/738.21 = 359.82/x
  3. Step 3: Cross multiply
    534.78x = 738.21 × 359.82
  4. Step 4: Simplify right side
    534.78x = 265,622.72
  5. Step 5: Solve for x
    x = 265,622.72/534.78
  6. Step 6: Final answer
    x = 496.70

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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.