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Finding the Fourth Proportional to 581.59, 802.60 and 319.61

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Solution

The fourth proportional to 581.59, 802.60 and 319.61 is: 441.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.59 : 802.60 = 319.61 : x
  2. Step 2: Convert to fraction form
    581.59/802.60 = 319.61/x
  3. Step 3: Cross multiply
    581.59x = 802.60 × 319.61
  4. Step 4: Simplify right side
    581.59x = 256,514.97
  5. Step 5: Solve for x
    x = 256,514.97/581.59
  6. Step 6: Final answer
    x = 441.06

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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.