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Finding the Fourth Proportional to 690.24, 952.14 and 441.06

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Solution

The fourth proportional to 690.24, 952.14 and 441.06 is: 608.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.24 : 952.14 = 441.06 : x
  2. Step 2: Convert to fraction form
    690.24/952.14 = 441.06/x
  3. Step 3: Cross multiply
    690.24x = 952.14 × 441.06
  4. Step 4: Simplify right side
    690.24x = 419,950.87
  5. Step 5: Solve for x
    x = 419,950.87/690.24
  6. Step 6: Final answer
    x = 608.41

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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.