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Finding the Fourth Proportional to 690.07, 952.30 and 379.57

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Solution

The fourth proportional to 690.07, 952.30 and 379.57 is: 523.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.07 : 952.30 = 379.57 : x
  2. Step 2: Convert to fraction form
    690.07/952.30 = 379.57/x
  3. Step 3: Cross multiply
    690.07x = 952.30 × 379.57
  4. Step 4: Simplify right side
    690.07x = 361,457.85
  5. Step 5: Solve for x
    x = 361,457.85/690.07
  6. Step 6: Final answer
    x = 523.80

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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.