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Finding the Fourth Proportional to 379.97, 569.41 and 302.58

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Solution

The fourth proportional to 379.97, 569.41 and 302.58 is: 453.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.97 : 569.41 = 302.58 : x
  2. Step 2: Convert to fraction form
    379.97/569.41 = 302.58/x
  3. Step 3: Cross multiply
    379.97x = 569.41 × 302.58
  4. Step 4: Simplify right side
    379.97x = 172,291.32
  5. Step 5: Solve for x
    x = 172,291.32/379.97
  6. Step 6: Final answer
    x = 453.44

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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.