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Finding the Fourth Proportional to 501.14, 751.97 and 296.11

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Solution

The fourth proportional to 501.14, 751.97 and 296.11 is: 444.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.14 : 751.97 = 296.11 : x
  2. Step 2: Convert to fraction form
    501.14/751.97 = 296.11/x
  3. Step 3: Cross multiply
    501.14x = 751.97 × 296.11
  4. Step 4: Simplify right side
    501.14x = 222,662.48
  5. Step 5: Solve for x
    x = 222,662.48/501.14
  6. Step 6: Final answer
    x = 444.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.