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Finding the Fourth Proportional to 581.91, 802.31 and 371.74

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Solution

The fourth proportional to 581.91, 802.31 and 371.74 is: 512.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.91 : 802.31 = 371.74 : x
  2. Step 2: Convert to fraction form
    581.91/802.31 = 371.74/x
  3. Step 3: Cross multiply
    581.91x = 802.31 × 371.74
  4. Step 4: Simplify right side
    581.91x = 298,248.36
  5. Step 5: Solve for x
    x = 298,248.36/581.91
  6. Step 6: Final answer
    x = 512.53

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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.