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Finding the Fourth Proportional to 632.48, 949.52 and 536.90

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Solution

The fourth proportional to 632.48, 949.52 and 536.90 is: 806.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.48 : 949.52 = 536.90 : x
  2. Step 2: Convert to fraction form
    632.48/949.52 = 536.90/x
  3. Step 3: Cross multiply
    632.48x = 949.52 × 536.90
  4. Step 4: Simplify right side
    632.48x = 509,797.29
  5. Step 5: Solve for x
    x = 509,797.29/632.48
  6. Step 6: Final answer
    x = 806.03

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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.