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Finding the Fourth Proportional to 581.44, 802.56 and 348.72

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Solution

The fourth proportional to 581.44, 802.56 and 348.72 is: 481.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.44 : 802.56 = 348.72 : x
  2. Step 2: Convert to fraction form
    581.44/802.56 = 348.72/x
  3. Step 3: Cross multiply
    581.44x = 802.56 × 348.72
  4. Step 4: Simplify right side
    581.44x = 279,868.72
  5. Step 5: Solve for x
    x = 279,868.72/581.44
  6. Step 6: Final answer
    x = 481.34

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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.