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Finding the Fourth Proportional to 581.68, 802.38 and 348.76

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Solution

The fourth proportional to 581.68, 802.38 and 348.76 is: 481.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.68 : 802.38 = 348.76 : x
  2. Step 2: Convert to fraction form
    581.68/802.38 = 348.76/x
  3. Step 3: Cross multiply
    581.68x = 802.38 × 348.76
  4. Step 4: Simplify right side
    581.68x = 279,838.05
  5. Step 5: Solve for x
    x = 279,838.05/581.68
  6. Step 6: Final answer
    x = 481.09

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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.