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Finding the Fourth Proportional to 690.16, 952.42 and 379.66

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Solution

The fourth proportional to 690.16, 952.42 and 379.66 is: 523.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.16 : 952.42 = 379.66 : x
  2. Step 2: Convert to fraction form
    690.16/952.42 = 379.66/x
  3. Step 3: Cross multiply
    690.16x = 952.42 × 379.66
  4. Step 4: Simplify right side
    690.16x = 361,595.78
  5. Step 5: Solve for x
    x = 361,595.78/690.16
  6. Step 6: Final answer
    x = 523.93

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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.