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Finding the Fourth Proportional to 523.66, 722.68 and 296.56

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Solution

The fourth proportional to 523.66, 722.68 and 296.56 is: 409.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.66 : 722.68 = 296.56 : x
  2. Step 2: Convert to fraction form
    523.66/722.68 = 296.56/x
  3. Step 3: Cross multiply
    523.66x = 722.68 × 296.56
  4. Step 4: Simplify right side
    523.66x = 214,317.98
  5. Step 5: Solve for x
    x = 214,317.98/523.66
  6. Step 6: Final answer
    x = 409.27

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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.