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Finding the Fourth Proportional to 534.66, 736.36 and 460.95

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Solution

The fourth proportional to 534.66, 736.36 and 460.95 is: 634.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.66 : 736.36 = 460.95 : x
  2. Step 2: Convert to fraction form
    534.66/736.36 = 460.95/x
  3. Step 3: Cross multiply
    534.66x = 736.36 × 460.95
  4. Step 4: Simplify right side
    534.66x = 339,425.14
  5. Step 5: Solve for x
    x = 339,425.14/534.66
  6. Step 6: Final answer
    x = 634.84

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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.