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Finding the Fourth Proportional to 334.92, 500.31 and 283.32

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Solution

The fourth proportional to 334.92, 500.31 and 283.32 is: 423.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.92 : 500.31 = 283.32 : x
  2. Step 2: Convert to fraction form
    334.92/500.31 = 283.32/x
  3. Step 3: Cross multiply
    334.92x = 500.31 × 283.32
  4. Step 4: Simplify right side
    334.92x = 141,747.83
  5. Step 5: Solve for x
    x = 141,747.83/334.92
  6. Step 6: Final answer
    x = 423.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.