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Finding the Fourth Proportional to 349.22, 523.02 and 277.40

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Solution

The fourth proportional to 349.22, 523.02 and 277.40 is: 415.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.22 : 523.02 = 277.40 : x
  2. Step 2: Convert to fraction form
    349.22/523.02 = 277.40/x
  3. Step 3: Cross multiply
    349.22x = 523.02 × 277.40
  4. Step 4: Simplify right side
    349.22x = 145,085.75
  5. Step 5: Solve for x
    x = 145,085.75/349.22
  6. Step 6: Final answer
    x = 415.46

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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.