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Finding the Fourth Proportional to 349.96, 522.24 and 313.50

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Solution

The fourth proportional to 349.96, 522.24 and 313.50 is: 467.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.96 : 522.24 = 313.50 : x
  2. Step 2: Convert to fraction form
    349.96/522.24 = 313.50/x
  3. Step 3: Cross multiply
    349.96x = 522.24 × 313.50
  4. Step 4: Simplify right side
    349.96x = 163,722.24
  5. Step 5: Solve for x
    x = 163,722.24/349.96
  6. Step 6: Final answer
    x = 467.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.