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Finding the Fourth Proportional to 694.76, 958.95 and 415.17

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Solution

The fourth proportional to 694.76, 958.95 and 415.17 is: 573.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.76 : 958.95 = 415.17 : x
  2. Step 2: Convert to fraction form
    694.76/958.95 = 415.17/x
  3. Step 3: Cross multiply
    694.76x = 958.95 × 415.17
  4. Step 4: Simplify right side
    694.76x = 398,127.27
  5. Step 5: Solve for x
    x = 398,127.27/694.76
  6. Step 6: Final answer
    x = 573.05

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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.