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Finding the Fourth Proportional to 468.84, 646.98 and 272.36

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Solution

The fourth proportional to 468.84, 646.98 and 272.36 is: 375.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.84 : 646.98 = 272.36 : x
  2. Step 2: Convert to fraction form
    468.84/646.98 = 272.36/x
  3. Step 3: Cross multiply
    468.84x = 646.98 × 272.36
  4. Step 4: Simplify right side
    468.84x = 176,211.47
  5. Step 5: Solve for x
    x = 176,211.47/468.84
  6. Step 6: Final answer
    x = 375.85

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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.