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Finding the Fourth Proportional to 305.88, 460.71 and 272.04

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Solution

The fourth proportional to 305.88, 460.71 and 272.04 is: 409.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.88 : 460.71 = 272.04 : x
  2. Step 2: Convert to fraction form
    305.88/460.71 = 272.04/x
  3. Step 3: Cross multiply
    305.88x = 460.71 × 272.04
  4. Step 4: Simplify right side
    305.88x = 125,331.55
  5. Step 5: Solve for x
    x = 125,331.55/305.88
  6. Step 6: Final answer
    x = 409.74

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Why These Related Problems?

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