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Finding the Fourth Proportional to 581.56, 802.66 and 348.69

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Solution

The fourth proportional to 581.56, 802.66 and 348.69 is: 481.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.56 : 802.66 = 348.69 : x
  2. Step 2: Convert to fraction form
    581.56/802.66 = 348.69/x
  3. Step 3: Cross multiply
    581.56x = 802.66 × 348.69
  4. Step 4: Simplify right side
    581.56x = 279,876.64
  5. Step 5: Solve for x
    x = 279,876.64/581.56
  6. Step 6: Final answer
    x = 481.25

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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.