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Finding the Fourth Proportional to 523.74, 723.03 and 358.26

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Solution

The fourth proportional to 523.74, 723.03 and 358.26 is: 494.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.74 : 723.03 = 358.26 : x
  2. Step 2: Convert to fraction form
    523.74/723.03 = 358.26/x
  3. Step 3: Cross multiply
    523.74x = 723.03 × 358.26
  4. Step 4: Simplify right side
    523.74x = 259,032.73
  5. Step 5: Solve for x
    x = 259,032.73/523.74
  6. Step 6: Final answer
    x = 494.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.