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Finding the Fourth Proportional to 952.92, 1,429.37 and 259.58

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Solution

The fourth proportional to 952.92, 1,429.37 and 259.58 is: 389.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.92 : 1,429.37 = 259.58 : x
  2. Step 2: Convert to fraction form
    952.92/1,429.37 = 259.58/x
  3. Step 3: Cross multiply
    952.92x = 1,429.37 × 259.58
  4. Step 4: Simplify right side
    952.92x = 371,038.79
  5. Step 5: Solve for x
    x = 371,038.79/952.92
  6. Step 6: Final answer
    x = 389.37

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