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Finding the Fourth Proportional to 910.08, 1,365.21 and 362.12

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Solution

The fourth proportional to 910.08, 1,365.21 and 362.12 is: 543.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.08 : 1,365.21 = 362.12 : x
  2. Step 2: Convert to fraction form
    910.08/1,365.21 = 362.12/x
  3. Step 3: Cross multiply
    910.08x = 1,365.21 × 362.12
  4. Step 4: Simplify right side
    910.08x = 494,363.02
  5. Step 5: Solve for x
    x = 494,363.02/910.08
  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.