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Finding the Fourth Proportional to 630.35, 945.53 and 197.51

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Solution

The fourth proportional to 630.35, 945.53 and 197.51 is: 296.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.35 : 945.53 = 197.51 : x
  2. Step 2: Convert to fraction form
    630.35/945.53 = 197.51/x
  3. Step 3: Cross multiply
    630.35x = 945.53 × 197.51
  4. Step 4: Simplify right side
    630.35x = 186,745.92
  5. Step 5: Solve for x
    x = 186,745.92/630.35
  6. Step 6: Final answer
    x = 296.26

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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.