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Finding the Fourth Proportional to 468.94, 647.08 and 272.42

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Solution

The fourth proportional to 468.94, 647.08 and 272.42 is: 375.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.94 : 647.08 = 272.42 : x
  2. Step 2: Convert to fraction form
    468.94/647.08 = 272.42/x
  3. Step 3: Cross multiply
    468.94x = 647.08 × 272.42
  4. Step 4: Simplify right side
    468.94x = 176,277.53
  5. Step 5: Solve for x
    x = 176,277.53/468.94
  6. Step 6: Final answer
    x = 375.91

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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.