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Finding the Fourth Proportional to 397.82, 595.58 and 300.74

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Solution

The fourth proportional to 397.82, 595.58 and 300.74 is: 450.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.82 : 595.58 = 300.74 : x
  2. Step 2: Convert to fraction form
    397.82/595.58 = 300.74/x
  3. Step 3: Cross multiply
    397.82x = 595.58 × 300.74
  4. Step 4: Simplify right side
    397.82x = 179,110.25
  5. Step 5: Solve for x
    x = 179,110.25/397.82
  6. Step 6: Final answer
    x = 450.23

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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.