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Finding the Fourth Proportional to 523.22, 784.68 and 215.02

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Solution

The fourth proportional to 523.22, 784.68 and 215.02 is: 322.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.22 : 784.68 = 215.02 : x
  2. Step 2: Convert to fraction form
    523.22/784.68 = 215.02/x
  3. Step 3: Cross multiply
    523.22x = 784.68 × 215.02
  4. Step 4: Simplify right side
    523.22x = 168,721.89
  5. Step 5: Solve for x
    x = 168,721.89/523.22
  6. Step 6: Final answer
    x = 322.47

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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.