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Finding the Fourth Proportional to 695.81, 960.13 and 415.99

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Solution

The fourth proportional to 695.81, 960.13 and 415.99 is: 574.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.81 : 960.13 = 415.99 : x
  2. Step 2: Convert to fraction form
    695.81/960.13 = 415.99/x
  3. Step 3: Cross multiply
    695.81x = 960.13 × 415.99
  4. Step 4: Simplify right side
    695.81x = 399,401.04
  5. Step 5: Solve for x
    x = 399,401.04/695.81
  6. Step 6: Final answer
    x = 574.01

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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.