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Finding the Fourth Proportional to 523.12, 784.16 and 214.88

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Solution

The fourth proportional to 523.12, 784.16 and 214.88 is: 322.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.12 : 784.16 = 214.88 : x
  2. Step 2: Convert to fraction form
    523.12/784.16 = 214.88/x
  3. Step 3: Cross multiply
    523.12x = 784.16 × 214.88
  4. Step 4: Simplify right side
    523.12x = 168,500.30
  5. Step 5: Solve for x
    x = 168,500.30/523.12
  6. Step 6: Final answer
    x = 322.11

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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.