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Finding the Fourth Proportional to 581.40, 802.31 and 319.42

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Solution

The fourth proportional to 581.40, 802.31 and 319.42 is: 440.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.40 : 802.31 = 319.42 : x
  2. Step 2: Convert to fraction form
    581.40/802.31 = 319.42/x
  3. Step 3: Cross multiply
    581.40x = 802.31 × 319.42
  4. Step 4: Simplify right side
    581.40x = 256,273.86
  5. Step 5: Solve for x
    x = 256,273.86/581.40
  6. Step 6: Final answer
    x = 440.79

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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.