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Finding the Fourth Proportional to 945.67, 1,418.52 and 360.94

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Solution

The fourth proportional to 945.67, 1,418.52 and 360.94 is: 541.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.67 : 1,418.52 = 360.94 : x
  2. Step 2: Convert to fraction form
    945.67/1,418.52 = 360.94/x
  3. Step 3: Cross multiply
    945.67x = 1,418.52 × 360.94
  4. Step 4: Simplify right side
    945.67x = 512,000.61
  5. Step 5: Solve for x
    x = 512,000.61/945.67
  6. Step 6: Final answer
    x = 541.42

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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.