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Finding the Fourth Proportional to 561.74, 842.63 and 215.24

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Solution

The fourth proportional to 561.74, 842.63 and 215.24 is: 322.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.74 : 842.63 = 215.24 : x
  2. Step 2: Convert to fraction form
    561.74/842.63 = 215.24/x
  3. Step 3: Cross multiply
    561.74x = 842.63 × 215.24
  4. Step 4: Simplify right side
    561.74x = 181,362.39
  5. Step 5: Solve for x
    x = 181,362.39/561.74
  6. Step 6: Final answer
    x = 322.86

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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.