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Finding the Fourth Proportional to 581.13, 801.97 and 345.24

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Solution

The fourth proportional to 581.13, 801.97 and 345.24 is: 476.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.13 : 801.97 = 345.24 : x
  2. Step 2: Convert to fraction form
    581.13/801.97 = 345.24/x
  3. Step 3: Cross multiply
    581.13x = 801.97 × 345.24
  4. Step 4: Simplify right side
    581.13x = 276,871.26
  5. Step 5: Solve for x
    x = 276,871.26/581.13
  6. Step 6: Final answer
    x = 476.44

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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.