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Finding the Fourth Proportional to 334.75, 503.34 and 308.02

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Solution

The fourth proportional to 334.75, 503.34 and 308.02 is: 463.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.75 : 503.34 = 308.02 : x
  2. Step 2: Convert to fraction form
    334.75/503.34 = 308.02/x
  3. Step 3: Cross multiply
    334.75x = 503.34 × 308.02
  4. Step 4: Simplify right side
    334.75x = 155,037.53
  5. Step 5: Solve for x
    x = 155,037.53/334.75
  6. Step 6: Final answer
    x = 463.15

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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.