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Finding the Fourth Proportional to 535.05, 737.91 and 325.26

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Solution

The fourth proportional to 535.05, 737.91 and 325.26 is: 448.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.05 : 737.91 = 325.26 : x
  2. Step 2: Convert to fraction form
    535.05/737.91 = 325.26/x
  3. Step 3: Cross multiply
    535.05x = 737.91 × 325.26
  4. Step 4: Simplify right side
    535.05x = 240,012.61
  5. Step 5: Solve for x
    x = 240,012.61/535.05
  6. Step 6: Final answer
    x = 448.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.