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Finding the Fourth Proportional to 581.06, 801.82 and 371.24

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Solution

The fourth proportional to 581.06, 801.82 and 371.24 is: 512.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.06 : 801.82 = 371.24 : x
  2. Step 2: Convert to fraction form
    581.06/801.82 = 371.24/x
  3. Step 3: Cross multiply
    581.06x = 801.82 × 371.24
  4. Step 4: Simplify right side
    581.06x = 297,664.11
  5. Step 5: Solve for x
    x = 297,664.11/581.06
  6. Step 6: Final answer
    x = 512.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.