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Finding the Fourth Proportional to 632.14, 948.41 and 307.28

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Solution

The fourth proportional to 632.14, 948.41 and 307.28 is: 461.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.14 : 948.41 = 307.28 : x
  2. Step 2: Convert to fraction form
    632.14/948.41 = 307.28/x
  3. Step 3: Cross multiply
    632.14x = 948.41 × 307.28
  4. Step 4: Simplify right side
    632.14x = 291,427.01
  5. Step 5: Solve for x
    x = 291,427.01/632.14
  6. Step 6: Final answer
    x = 461.02

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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.