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Finding the Fourth Proportional to 581.69, 802.74 and 319.71

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Solution

The fourth proportional to 581.69, 802.74 and 319.71 is: 441.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.69 : 802.74 = 319.71 : x
  2. Step 2: Convert to fraction form
    581.69/802.74 = 319.71/x
  3. Step 3: Cross multiply
    581.69x = 802.74 × 319.71
  4. Step 4: Simplify right side
    581.69x = 256,644.01
  5. Step 5: Solve for x
    x = 256,644.01/581.69
  6. Step 6: Final answer
    x = 441.20

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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.