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Finding the Fourth Proportional to 523.93, 723.09 and 291.07

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Solution

The fourth proportional to 523.93, 723.09 and 291.07 is: 401.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.93 : 723.09 = 291.07 : x
  2. Step 2: Convert to fraction form
    523.93/723.09 = 291.07/x
  3. Step 3: Cross multiply
    523.93x = 723.09 × 291.07
  4. Step 4: Simplify right side
    523.93x = 210,468.35
  5. Step 5: Solve for x
    x = 210,468.35/523.93
  6. Step 6: Final answer
    x = 401.71

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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.