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Finding the Fourth Proportional to 562.00, 842.81 and 215.44

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Solution

The fourth proportional to 562.00, 842.81 and 215.44 is: 323.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.00 : 842.81 = 215.44 : x
  2. Step 2: Convert to fraction form
    562.00/842.81 = 215.44/x
  3. Step 3: Cross multiply
    562.00x = 842.81 × 215.44
  4. Step 4: Simplify right side
    562.00x = 181,569.70
  5. Step 5: Solve for x
    x = 181,569.70/562.00
  6. Step 6: Final answer
    x = 323.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.