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Finding the Fourth Proportional to 632.10, 947.49 and 241.99

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Solution

The fourth proportional to 632.10, 947.49 and 241.99 is: 362.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.10 : 947.49 = 241.99 : x
  2. Step 2: Convert to fraction form
    632.10/947.49 = 241.99/x
  3. Step 3: Cross multiply
    632.10x = 947.49 × 241.99
  4. Step 4: Simplify right side
    632.10x = 229,283.11
  5. Step 5: Solve for x
    x = 229,283.11/632.10
  6. Step 6: Final answer
    x = 362.73

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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.