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Finding the Fourth Proportional to 468.93, 647.09 and 272.50

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Solution

The fourth proportional to 468.93, 647.09 and 272.50 is: 376.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.93 : 647.09 = 272.50 : x
  2. Step 2: Convert to fraction form
    468.93/647.09 = 272.50/x
  3. Step 3: Cross multiply
    468.93x = 647.09 × 272.50
  4. Step 4: Simplify right side
    468.93x = 176,332.03
  5. Step 5: Solve for x
    x = 176,332.03/468.93
  6. Step 6: Final answer
    x = 376.03

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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.