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Finding the Fourth Proportional to 690.13, 952.32 and 391.38

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Solution

The fourth proportional to 690.13, 952.32 and 391.38 is: 540.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.13 : 952.32 = 391.38 : x
  2. Step 2: Convert to fraction form
    690.13/952.32 = 391.38/x
  3. Step 3: Cross multiply
    690.13x = 952.32 × 391.38
  4. Step 4: Simplify right side
    690.13x = 372,719.00
  5. Step 5: Solve for x
    x = 372,719.00/690.13
  6. Step 6: Final answer
    x = 540.07

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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.