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Finding the Fourth Proportional to 952.43, 1,428.50 and 259.13

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Solution

The fourth proportional to 952.43, 1,428.50 and 259.13 is: 388.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.43 : 1,428.50 = 259.13 : x
  2. Step 2: Convert to fraction form
    952.43/1,428.50 = 259.13/x
  3. Step 3: Cross multiply
    952.43x = 1,428.50 × 259.13
  4. Step 4: Simplify right side
    952.43x = 370,171.42
  5. Step 5: Solve for x
    x = 370,171.42/952.43
  6. Step 6: Final answer
    x = 388.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.