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Finding the Fourth Proportional to 334.02, 500.44 and 314.52

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Solution

The fourth proportional to 334.02, 500.44 and 314.52 is: 471.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.02 : 500.44 = 314.52 : x
  2. Step 2: Convert to fraction form
    334.02/500.44 = 314.52/x
  3. Step 3: Cross multiply
    334.02x = 500.44 × 314.52
  4. Step 4: Simplify right side
    334.02x = 157,398.39
  5. Step 5: Solve for x
    x = 157,398.39/334.02
  6. Step 6: Final answer
    x = 471.22

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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.