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Finding the Fourth Proportional to 581.40, 802.34 and 319.41

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Solution

The fourth proportional to 581.40, 802.34 and 319.41 is: 440.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.40 : 802.34 = 319.41 : x
  2. Step 2: Convert to fraction form
    581.40/802.34 = 319.41/x
  3. Step 3: Cross multiply
    581.40x = 802.34 × 319.41
  4. Step 4: Simplify right side
    581.40x = 256,275.42
  5. Step 5: Solve for x
    x = 256,275.42/581.40
  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.