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Finding the Fourth Proportional to 581.04, 801.42 and 371.22

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Solution

The fourth proportional to 581.04, 801.42 and 371.22 is: 512.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.04 : 801.42 = 371.22 : x
  2. Step 2: Convert to fraction form
    581.04/801.42 = 371.22/x
  3. Step 3: Cross multiply
    581.04x = 801.42 × 371.22
  4. Step 4: Simplify right side
    581.04x = 297,503.13
  5. Step 5: Solve for x
    x = 297,503.13/581.04
  6. Step 6: Final answer
    x = 512.02

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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.