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Finding the Fourth Proportional to 694.95, 958.97 and 415.13

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Solution

The fourth proportional to 694.95, 958.97 and 415.13 is: 572.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.95 : 958.97 = 415.13 : x
  2. Step 2: Convert to fraction form
    694.95/958.97 = 415.13/x
  3. Step 3: Cross multiply
    694.95x = 958.97 × 415.13
  4. Step 4: Simplify right side
    694.95x = 398,095.14
  5. Step 5: Solve for x
    x = 398,095.14/694.95
  6. Step 6: Final answer
    x = 572.84

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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.