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Finding the Fourth Proportional to 523.91, 784.17 and 474.68

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Solution

The fourth proportional to 523.91, 784.17 and 474.68 is: 710.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.91 : 784.17 = 474.68 : x
  2. Step 2: Convert to fraction form
    523.91/784.17 = 474.68/x
  3. Step 3: Cross multiply
    523.91x = 784.17 × 474.68
  4. Step 4: Simplify right side
    523.91x = 372,225.89
  5. Step 5: Solve for x
    x = 372,225.89/523.91
  6. Step 6: Final answer
    x = 710.48

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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.