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Finding the Fourth Proportional to 468.98, 647.08 and 272.37

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Solution

The fourth proportional to 468.98, 647.08 and 272.37 is: 375.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.98 : 647.08 = 272.37 : x
  2. Step 2: Convert to fraction form
    468.98/647.08 = 272.37/x
  3. Step 3: Cross multiply
    468.98x = 647.08 × 272.37
  4. Step 4: Simplify right side
    468.98x = 176,244.50
  5. Step 5: Solve for x
    x = 176,244.50/468.98
  6. Step 6: Final answer
    x = 375.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.