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Finding the Fourth Proportional to 297.71, 445.65 and 272.51

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Solution

The fourth proportional to 297.71, 445.65 and 272.51 is: 407.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.71 : 445.65 = 272.51 : x
  2. Step 2: Convert to fraction form
    297.71/445.65 = 272.51/x
  3. Step 3: Cross multiply
    297.71x = 445.65 × 272.51
  4. Step 4: Simplify right side
    297.71x = 121,444.08
  5. Step 5: Solve for x
    x = 121,444.08/297.71
  6. Step 6: Final answer
    x = 407.93

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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.