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Finding the Fourth Proportional to 690.66, 952.73 and 428.62

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Solution

The fourth proportional to 690.66, 952.73 and 428.62 is: 591.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.66 : 952.73 = 428.62 : x
  2. Step 2: Convert to fraction form
    690.66/952.73 = 428.62/x
  3. Step 3: Cross multiply
    690.66x = 952.73 × 428.62
  4. Step 4: Simplify right side
    690.66x = 408,359.13
  5. Step 5: Solve for x
    x = 408,359.13/690.66
  6. Step 6: Final answer
    x = 591.26

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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.