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Finding the Fourth Proportional to 334.52, 501.32 and 232

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Solution

The fourth proportional to 334.52, 501.32 and 232 is: 347.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.52 : 501.32 = 232 : x
  2. Step 2: Convert to fraction form
    334.52/501.32 = 232/x
  3. Step 3: Cross multiply
    334.52x = 501.32 × 232
  4. Step 4: Simplify right side
    334.52x = 116,306.24
  5. Step 5: Solve for x
    x = 116,306.24/334.52
  6. Step 6: Final answer
    x = 347.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.