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Finding the Fourth Proportional to 948.32, 1,422.25 and 290.02

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Solution

The fourth proportional to 948.32, 1,422.25 and 290.02 is: 434.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.32 : 1,422.25 = 290.02 : x
  2. Step 2: Convert to fraction form
    948.32/1,422.25 = 290.02/x
  3. Step 3: Cross multiply
    948.32x = 1,422.25 × 290.02
  4. Step 4: Simplify right side
    948.32x = 412,480.95
  5. Step 5: Solve for x
    x = 412,480.95/948.32
  6. Step 6: Final answer
    x = 434.96

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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.