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Finding the Fourth Proportional to 910.26, 1,364.41 and 362.20

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Solution

The fourth proportional to 910.26, 1,364.41 and 362.20 is: 542.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.26 : 1,364.41 = 362.20 : x
  2. Step 2: Convert to fraction form
    910.26/1,364.41 = 362.20/x
  3. Step 3: Cross multiply
    910.26x = 1,364.41 × 362.20
  4. Step 4: Simplify right side
    910.26x = 494,189.30
  5. Step 5: Solve for x
    x = 494,189.30/910.26
  6. Step 6: Final answer
    x = 542.91

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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.