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Finding the Fourth Proportional to 952.72, 1,429.31 and 294.58

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Solution

The fourth proportional to 952.72, 1,429.31 and 294.58 is: 441.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.72 : 1,429.31 = 294.58 : x
  2. Step 2: Convert to fraction form
    952.72/1,429.31 = 294.58/x
  3. Step 3: Cross multiply
    952.72x = 1,429.31 × 294.58
  4. Step 4: Simplify right side
    952.72x = 421,037.52
  5. Step 5: Solve for x
    x = 421,037.52/952.72
  6. Step 6: Final answer
    x = 441.93

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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.