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Finding the Fourth Proportional to 581.24, 802.07 and 319.23

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Solution

The fourth proportional to 581.24, 802.07 and 319.23 is: 440.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.24 : 802.07 = 319.23 : x
  2. Step 2: Convert to fraction form
    581.24/802.07 = 319.23/x
  3. Step 3: Cross multiply
    581.24x = 802.07 × 319.23
  4. Step 4: Simplify right side
    581.24x = 256,044.81
  5. Step 5: Solve for x
    x = 256,044.81/581.24
  6. Step 6: Final answer
    x = 440.52

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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.