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Finding the Fourth Proportional to 695.35, 959.26 and 458.99

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Solution

The fourth proportional to 695.35, 959.26 and 458.99 is: 633.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.35 : 959.26 = 458.99 : x
  2. Step 2: Convert to fraction form
    695.35/959.26 = 458.99/x
  3. Step 3: Cross multiply
    695.35x = 959.26 × 458.99
  4. Step 4: Simplify right side
    695.35x = 440,290.75
  5. Step 5: Solve for x
    x = 440,290.75/695.35
  6. Step 6: Final answer
    x = 633.20

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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.