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Finding the Fourth Proportional to 349.88, 523.74 and 313.16

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Solution

The fourth proportional to 349.88, 523.74 and 313.16 is: 468.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.88 : 523.74 = 313.16 : x
  2. Step 2: Convert to fraction form
    349.88/523.74 = 313.16/x
  3. Step 3: Cross multiply
    349.88x = 523.74 × 313.16
  4. Step 4: Simplify right side
    349.88x = 164,014.42
  5. Step 5: Solve for x
    x = 164,014.42/349.88
  6. Step 6: Final answer
    x = 468.77

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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.