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Finding the Fourth Proportional to 468.98, 647.28 and 272.54

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Solution

The fourth proportional to 468.98, 647.28 and 272.54 is: 376.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.98 : 647.28 = 272.54 : x
  2. Step 2: Convert to fraction form
    468.98/647.28 = 272.54/x
  3. Step 3: Cross multiply
    468.98x = 647.28 × 272.54
  4. Step 4: Simplify right side
    468.98x = 176,409.69
  5. Step 5: Solve for x
    x = 176,409.69/468.98
  6. Step 6: Final answer
    x = 376.16

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Why These Related Problems?

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