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Finding the Fourth Proportional to 561.98, 843.04 and 215.32

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Solution

The fourth proportional to 561.98, 843.04 and 215.32 is: 323.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.98 : 843.04 = 215.32 : x
  2. Step 2: Convert to fraction form
    561.98/843.04 = 215.32/x
  3. Step 3: Cross multiply
    561.98x = 843.04 × 215.32
  4. Step 4: Simplify right side
    561.98x = 181,523.37
  5. Step 5: Solve for x
    x = 181,523.37/561.98
  6. Step 6: Final answer
    x = 323.01

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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.