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Finding the Fourth Proportional to 690.33, 952.64 and 391.59

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Solution

The fourth proportional to 690.33, 952.64 and 391.59 is: 540.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.33 : 952.64 = 391.59 : x
  2. Step 2: Convert to fraction form
    690.33/952.64 = 391.59/x
  3. Step 3: Cross multiply
    690.33x = 952.64 × 391.59
  4. Step 4: Simplify right side
    690.33x = 373,042.34
  5. Step 5: Solve for x
    x = 373,042.34/690.33
  6. Step 6: Final answer
    x = 540.38

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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.