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Finding the Fourth Proportional to 379.72, 524.06 and 232.32

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Solution

The fourth proportional to 379.72, 524.06 and 232.32 is: 320.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.72 : 524.06 = 232.32 : x
  2. Step 2: Convert to fraction form
    379.72/524.06 = 232.32/x
  3. Step 3: Cross multiply
    379.72x = 524.06 × 232.32
  4. Step 4: Simplify right side
    379.72x = 121,748.46
  5. Step 5: Solve for x
    x = 121,748.46/379.72
  6. Step 6: Final answer
    x = 320.63

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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.