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Finding the Fourth Proportional to 632.45, 948.03 and 427.07

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Solution

The fourth proportional to 632.45, 948.03 and 427.07 is: 640.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.45 : 948.03 = 427.07 : x
  2. Step 2: Convert to fraction form
    632.45/948.03 = 427.07/x
  3. Step 3: Cross multiply
    632.45x = 948.03 × 427.07
  4. Step 4: Simplify right side
    632.45x = 404,870.43
  5. Step 5: Solve for x
    x = 404,870.43/632.45
  6. Step 6: Final answer
    x = 640.17

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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.