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Finding the Fourth Proportional to 349.35, 524.04 and 309.27

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Solution

The fourth proportional to 349.35, 524.04 and 309.27 is: 463.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.35 : 524.04 = 309.27 : x
  2. Step 2: Convert to fraction form
    349.35/524.04 = 309.27/x
  3. Step 3: Cross multiply
    349.35x = 524.04 × 309.27
  4. Step 4: Simplify right side
    349.35x = 162,069.85
  5. Step 5: Solve for x
    x = 162,069.85/349.35
  6. Step 6: Final answer
    x = 463.92

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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.