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Finding the Fourth Proportional to 523.42, 784.56 and 215.14

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Solution

The fourth proportional to 523.42, 784.56 and 215.14 is: 322.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.42 : 784.56 = 215.14 : x
  2. Step 2: Convert to fraction form
    523.42/784.56 = 215.14/x
  3. Step 3: Cross multiply
    523.42x = 784.56 × 215.14
  4. Step 4: Simplify right side
    523.42x = 168,790.24
  5. Step 5: Solve for x
    x = 168,790.24/523.42
  6. Step 6: Final answer
    x = 322.48

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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.