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Finding the Fourth Proportional to 910.26, 1,365.36 and 325.24

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Solution

The fourth proportional to 910.26, 1,365.36 and 325.24 is: 487.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.26 : 1,365.36 = 325.24 : x
  2. Step 2: Convert to fraction form
    910.26/1,365.36 = 325.24/x
  3. Step 3: Cross multiply
    910.26x = 1,365.36 × 325.24
  4. Step 4: Simplify right side
    910.26x = 444,065.05
  5. Step 5: Solve for x
    x = 444,065.05/910.26
  6. Step 6: Final answer
    x = 487.84

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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.