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Finding the Fourth Proportional to 523.85, 722.92 and 296.71

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Solution

The fourth proportional to 523.85, 722.92 and 296.71 is: 409.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.85 : 722.92 = 296.71 : x
  2. Step 2: Convert to fraction form
    523.85/722.92 = 296.71/x
  3. Step 3: Cross multiply
    523.85x = 722.92 × 296.71
  4. Step 4: Simplify right side
    523.85x = 214,497.59
  5. Step 5: Solve for x
    x = 214,497.59/523.85
  6. Step 6: Final answer
    x = 409.46

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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.