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Finding the Fourth Proportional to 534.29, 735.83 and 460.58

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Solution

The fourth proportional to 534.29, 735.83 and 460.58 is: 634.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.29 : 735.83 = 460.58 : x
  2. Step 2: Convert to fraction form
    534.29/735.83 = 460.58/x
  3. Step 3: Cross multiply
    534.29x = 735.83 × 460.58
  4. Step 4: Simplify right side
    534.29x = 338,904.90
  5. Step 5: Solve for x
    x = 338,904.90/534.29
  6. Step 6: Final answer
    x = 634.31

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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.