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Finding the Fourth Proportional to 523.24, 718.07 and 474.03

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Solution

The fourth proportional to 523.24, 718.07 and 474.03 is: 650.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.24 : 718.07 = 474.03 : x
  2. Step 2: Convert to fraction form
    523.24/718.07 = 474.03/x
  3. Step 3: Cross multiply
    523.24x = 718.07 × 474.03
  4. Step 4: Simplify right side
    523.24x = 340,386.72
  5. Step 5: Solve for x
    x = 340,386.72/523.24
  6. Step 6: Final answer
    x = 650.54

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.