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Finding the Fourth Proportional to 948.65, 1,422.95 and 255.29

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Solution

The fourth proportional to 948.65, 1,422.95 and 255.29 is: 382.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.65 : 1,422.95 = 255.29 : x
  2. Step 2: Convert to fraction form
    948.65/1,422.95 = 255.29/x
  3. Step 3: Cross multiply
    948.65x = 1,422.95 × 255.29
  4. Step 4: Simplify right side
    948.65x = 363,256.51
  5. Step 5: Solve for x
    x = 363,256.51/948.65
  6. Step 6: Final answer
    x = 382.92

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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.