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Finding the Fourth Proportional to 630.30, 945.08 and 191.42

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Solution

The fourth proportional to 630.30, 945.08 and 191.42 is: 287.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.30 : 945.08 = 191.42 : x
  2. Step 2: Convert to fraction form
    630.30/945.08 = 191.42/x
  3. Step 3: Cross multiply
    630.30x = 945.08 × 191.42
  4. Step 4: Simplify right side
    630.30x = 180,907.21
  5. Step 5: Solve for x
    x = 180,907.21/630.30
  6. Step 6: Final answer
    x = 287.02

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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.