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Finding the Fourth Proportional to 535.74, 801.96 and 495.24

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Solution

The fourth proportional to 535.74, 801.96 and 495.24 is: 741.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.74 : 801.96 = 495.24 : x
  2. Step 2: Convert to fraction form
    535.74/801.96 = 495.24/x
  3. Step 3: Cross multiply
    535.74x = 801.96 × 495.24
  4. Step 4: Simplify right side
    535.74x = 397,162.67
  5. Step 5: Solve for x
    x = 397,162.67/535.74
  6. Step 6: Final answer
    x = 741.33

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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.