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Finding the Fourth Proportional to 354.09, 530.85 and 349.23

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Solution

The fourth proportional to 354.09, 530.85 and 349.23 is: 523.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.09 : 530.85 = 349.23 : x
  2. Step 2: Convert to fraction form
    354.09/530.85 = 349.23/x
  3. Step 3: Cross multiply
    354.09x = 530.85 × 349.23
  4. Step 4: Simplify right side
    354.09x = 185,388.75
  5. Step 5: Solve for x
    x = 185,388.75/354.09
  6. Step 6: Final answer
    x = 523.56

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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.