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Finding the Fourth Proportional to 523.61, 718.59 and 474.38

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Solution

The fourth proportional to 523.61, 718.59 and 474.38 is: 651.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.61 : 718.59 = 474.38 : x
  2. Step 2: Convert to fraction form
    523.61/718.59 = 474.38/x
  3. Step 3: Cross multiply
    523.61x = 718.59 × 474.38
  4. Step 4: Simplify right side
    523.61x = 340,884.72
  5. Step 5: Solve for x
    x = 340,884.72/523.61
  6. Step 6: Final answer
    x = 651.03

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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.