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Finding the Fourth Proportional to 581.09, 801.86 and 319.12

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Solution

The fourth proportional to 581.09, 801.86 and 319.12 is: 440.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.09 : 801.86 = 319.12 : x
  2. Step 2: Convert to fraction form
    581.09/801.86 = 319.12/x
  3. Step 3: Cross multiply
    581.09x = 801.86 × 319.12
  4. Step 4: Simplify right side
    581.09x = 255,883.96
  5. Step 5: Solve for x
    x = 255,883.96/581.09
  6. Step 6: Final answer
    x = 440.36

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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.