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Finding the Fourth Proportional to 523.06, 784.44 and 214.88

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Solution

The fourth proportional to 523.06, 784.44 and 214.88 is: 322.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.06 : 784.44 = 214.88 : x
  2. Step 2: Convert to fraction form
    523.06/784.44 = 214.88/x
  3. Step 3: Cross multiply
    523.06x = 784.44 × 214.88
  4. Step 4: Simplify right side
    523.06x = 168,560.47
  5. Step 5: Solve for x
    x = 168,560.47/523.06
  6. Step 6: Final answer
    x = 322.26

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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.