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Finding the Fourth Proportional to 945.55, 1,418.40 and 397.66

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Solution

The fourth proportional to 945.55, 1,418.40 and 397.66 is: 596.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.55 : 1,418.40 = 397.66 : x
  2. Step 2: Convert to fraction form
    945.55/1,418.40 = 397.66/x
  3. Step 3: Cross multiply
    945.55x = 1,418.40 × 397.66
  4. Step 4: Simplify right side
    945.55x = 564,040.94
  5. Step 5: Solve for x
    x = 564,040.94/945.55
  6. Step 6: Final answer
    x = 596.52

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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.