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Finding the Fourth Proportional to 523.24, 784.38 and 214.90

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Solution

The fourth proportional to 523.24, 784.38 and 214.90 is: 322.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.24 : 784.38 = 214.90 : x
  2. Step 2: Convert to fraction form
    523.24/784.38 = 214.90/x
  3. Step 3: Cross multiply
    523.24x = 784.38 × 214.90
  4. Step 4: Simplify right side
    523.24x = 168,563.26
  5. Step 5: Solve for x
    x = 168,563.26/523.24
  6. Step 6: Final answer
    x = 322.15

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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.