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Finding the Fourth Proportional to 952.98, 1,429.51 and 295.31

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Solution

The fourth proportional to 952.98, 1,429.51 and 295.31 is: 442.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.98 : 1,429.51 = 295.31 : x
  2. Step 2: Convert to fraction form
    952.98/1,429.51 = 295.31/x
  3. Step 3: Cross multiply
    952.98x = 1,429.51 × 295.31
  4. Step 4: Simplify right side
    952.98x = 422,147.18
  5. Step 5: Solve for x
    x = 422,147.18/952.98
  6. Step 6: Final answer
    x = 442.98

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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.