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Finding the Fourth Proportional to 581.06, 801.87 and 319.09

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Solution

The fourth proportional to 581.06, 801.87 and 319.09 is: 440.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.06 : 801.87 = 319.09 : x
  2. Step 2: Convert to fraction form
    581.06/801.87 = 319.09/x
  3. Step 3: Cross multiply
    581.06x = 801.87 × 319.09
  4. Step 4: Simplify right side
    581.06x = 255,867.89
  5. Step 5: Solve for x
    x = 255,867.89/581.06
  6. Step 6: Final answer
    x = 440.34

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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.