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Finding the Fourth Proportional to 305.26, 460.17 and 292.90

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Solution

The fourth proportional to 305.26, 460.17 and 292.90 is: 441.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.26 : 460.17 = 292.90 : x
  2. Step 2: Convert to fraction form
    305.26/460.17 = 292.90/x
  3. Step 3: Cross multiply
    305.26x = 460.17 × 292.90
  4. Step 4: Simplify right side
    305.26x = 134,783.79
  5. Step 5: Solve for x
    x = 134,783.79/305.26
  6. Step 6: Final answer
    x = 441.54

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.