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Finding the Fourth Proportional to 909.96, 1,365.09 and 362.10

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Solution

The fourth proportional to 909.96, 1,365.09 and 362.10 is: 543.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.96 : 1,365.09 = 362.10 : x
  2. Step 2: Convert to fraction form
    909.96/1,365.09 = 362.10/x
  3. Step 3: Cross multiply
    909.96x = 1,365.09 × 362.10
  4. Step 4: Simplify right side
    909.96x = 494,299.09
  5. Step 5: Solve for x
    x = 494,299.09/909.96
  6. Step 6: Final answer
    x = 543.21

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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.