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Finding the Fourth Proportional to 581.23, 802.10 and 319.24

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Solution

The fourth proportional to 581.23, 802.10 and 319.24 is: 440.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.23 : 802.10 = 319.24 : x
  2. Step 2: Convert to fraction form
    581.23/802.10 = 319.24/x
  3. Step 3: Cross multiply
    581.23x = 802.10 × 319.24
  4. Step 4: Simplify right side
    581.23x = 256,064.20
  5. Step 5: Solve for x
    x = 256,064.20/581.23
  6. Step 6: Final answer
    x = 440.56

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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.