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Finding the Fourth Proportional to 349.10, 523.66 and 309.02

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Solution

The fourth proportional to 349.10, 523.66 and 309.02 is: 463.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.10 : 523.66 = 309.02 : x
  2. Step 2: Convert to fraction form
    349.10/523.66 = 309.02/x
  3. Step 3: Cross multiply
    349.10x = 523.66 × 309.02
  4. Step 4: Simplify right side
    349.10x = 161,821.41
  5. Step 5: Solve for x
    x = 161,821.41/349.10
  6. Step 6: Final answer
    x = 463.54

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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.