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Finding the Fourth Proportional to 354.51, 532.22 and 300.74

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Solution

The fourth proportional to 354.51, 532.22 and 300.74 is: 451.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.51 : 532.22 = 300.74 : x
  2. Step 2: Convert to fraction form
    354.51/532.22 = 300.74/x
  3. Step 3: Cross multiply
    354.51x = 532.22 × 300.74
  4. Step 4: Simplify right side
    354.51x = 160,055.68
  5. Step 5: Solve for x
    x = 160,055.68/354.51
  6. Step 6: Final answer
    x = 451.48

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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.