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Finding the Fourth Proportional to 523.62, 722.61 and 296.51

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Solution

The fourth proportional to 523.62, 722.61 and 296.51 is: 409.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.62 : 722.61 = 296.51 : x
  2. Step 2: Convert to fraction form
    523.62/722.61 = 296.51/x
  3. Step 3: Cross multiply
    523.62x = 722.61 × 296.51
  4. Step 4: Simplify right side
    523.62x = 214,257.48
  5. Step 5: Solve for x
    x = 214,257.48/523.62
  6. Step 6: Final answer
    x = 409.19

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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.