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Finding the Fourth Proportional to 690.28, 952.53 and 379.78

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Solution

The fourth proportional to 690.28, 952.53 and 379.78 is: 524.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.28 : 952.53 = 379.78 : x
  2. Step 2: Convert to fraction form
    690.28/952.53 = 379.78/x
  3. Step 3: Cross multiply
    690.28x = 952.53 × 379.78
  4. Step 4: Simplify right side
    690.28x = 361,751.84
  5. Step 5: Solve for x
    x = 361,751.84/690.28
  6. Step 6: Final answer
    x = 524.07

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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.