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Finding the Fourth Proportional to 364, 501.62 and 232.78

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Solution

The fourth proportional to 364, 501.62 and 232.78 is: 320.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    364 : 501.62 = 232.78 : x
  2. Step 2: Convert to fraction form
    364/501.62 = 232.78/x
  3. Step 3: Cross multiply
    364x = 501.62 × 232.78
  4. Step 4: Simplify right side
    364x = 116,767.10
  5. Step 5: Solve for x
    x = 116,767.10/364
  6. Step 6: Final answer
    x = 320.79

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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.