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Finding the Fourth Proportional to 952.74, 1,429.11 and 294.51

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Solution

The fourth proportional to 952.74, 1,429.11 and 294.51 is: 441.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.74 : 1,429.11 = 294.51 : x
  2. Step 2: Convert to fraction form
    952.74/1,429.11 = 294.51/x
  3. Step 3: Cross multiply
    952.74x = 1,429.11 × 294.51
  4. Step 4: Simplify right side
    952.74x = 420,887.19
  5. Step 5: Solve for x
    x = 420,887.19/952.74
  6. Step 6: Final answer
    x = 441.77

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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.