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Finding the Fourth Proportional to 535.14, 738 and 460.41

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Solution

The fourth proportional to 535.14, 738 and 460.41 is: 634.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.14 : 738 = 460.41 : x
  2. Step 2: Convert to fraction form
    535.14/738 = 460.41/x
  3. Step 3: Cross multiply
    535.14x = 738 × 460.41
  4. Step 4: Simplify right side
    535.14x = 339,782.58
  5. Step 5: Solve for x
    x = 339,782.58/535.14
  6. Step 6: Final answer
    x = 634.94

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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.