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Finding the Fourth Proportional to 581.80, 802.56 and 394.96

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Solution

The fourth proportional to 581.80, 802.56 and 394.96 is: 544.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.80 : 802.56 = 394.96 : x
  2. Step 2: Convert to fraction form
    581.80/802.56 = 394.96/x
  3. Step 3: Cross multiply
    581.80x = 802.56 × 394.96
  4. Step 4: Simplify right side
    581.80x = 316,979.10
  5. Step 5: Solve for x
    x = 316,979.10/581.80
  6. Step 6: Final answer
    x = 544.82

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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.