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Finding the Fourth Proportional to 632.63, 947.27 and 508.62

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Solution

The fourth proportional to 632.63, 947.27 and 508.62 is: 761.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.63 : 947.27 = 508.62 : x
  2. Step 2: Convert to fraction form
    632.63/947.27 = 508.62/x
  3. Step 3: Cross multiply
    632.63x = 947.27 × 508.62
  4. Step 4: Simplify right side
    632.63x = 481,797.92
  5. Step 5: Solve for x
    x = 481,797.92/632.63
  6. Step 6: Final answer
    x = 761.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.