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Finding the Fourth Proportional to 909.14, 1,363.57 and 331.88

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Solution

The fourth proportional to 909.14, 1,363.57 and 331.88 is: 497.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.14 : 1,363.57 = 331.88 : x
  2. Step 2: Convert to fraction form
    909.14/1,363.57 = 331.88/x
  3. Step 3: Cross multiply
    909.14x = 1,363.57 × 331.88
  4. Step 4: Simplify right side
    909.14x = 452,533.96
  5. Step 5: Solve for x
    x = 452,533.96/909.14
  6. Step 6: Final answer
    x = 497.76

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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.