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Finding the Fourth Proportional to 581.08, 801.89 and 319.10

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Solution

The fourth proportional to 581.08, 801.89 and 319.10 is: 440.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.08 : 801.89 = 319.10 : x
  2. Step 2: Convert to fraction form
    581.08/801.89 = 319.10/x
  3. Step 3: Cross multiply
    581.08x = 801.89 × 319.10
  4. Step 4: Simplify right side
    581.08x = 255,883.10
  5. Step 5: Solve for x
    x = 255,883.10/581.08
  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.