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Finding the Fourth Proportional to 297.89, 448.72 and 275.33

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Solution

The fourth proportional to 297.89, 448.72 and 275.33 is: 414.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.89 : 448.72 = 275.33 : x
  2. Step 2: Convert to fraction form
    297.89/448.72 = 275.33/x
  3. Step 3: Cross multiply
    297.89x = 448.72 × 275.33
  4. Step 4: Simplify right side
    297.89x = 123,546.51
  5. Step 5: Solve for x
    x = 123,546.51/297.89
  6. Step 6: Final answer
    x = 414.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.