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Finding the Fourth Proportional to 349.08, 523.60 and 313.44

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Solution

The fourth proportional to 349.08, 523.60 and 313.44 is: 470.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.08 : 523.60 = 313.44 : x
  2. Step 2: Convert to fraction form
    349.08/523.60 = 313.44/x
  3. Step 3: Cross multiply
    349.08x = 523.60 × 313.44
  4. Step 4: Simplify right side
    349.08x = 164,117.18
  5. Step 5: Solve for x
    x = 164,117.18/349.08
  6. Step 6: Final answer
    x = 470.14

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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.