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Finding the Fourth Proportional to 581.31, 802.30 and 348.57

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Solution

The fourth proportional to 581.31, 802.30 and 348.57 is: 481.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.31 : 802.30 = 348.57 : x
  2. Step 2: Convert to fraction form
    581.31/802.30 = 348.57/x
  3. Step 3: Cross multiply
    581.31x = 802.30 × 348.57
  4. Step 4: Simplify right side
    581.31x = 279,660.59
  5. Step 5: Solve for x
    x = 279,660.59/581.31
  6. Step 6: Final answer
    x = 481.08

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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.