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Finding the Fourth Proportional to 945.59, 1,418.07 and 397.67

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Solution

The fourth proportional to 945.59, 1,418.07 and 397.67 is: 596.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.59 : 1,418.07 = 397.67 : x
  2. Step 2: Convert to fraction form
    945.59/1,418.07 = 397.67/x
  3. Step 3: Cross multiply
    945.59x = 1,418.07 × 397.67
  4. Step 4: Simplify right side
    945.59x = 563,923.90
  5. Step 5: Solve for x
    x = 563,923.90/945.59
  6. Step 6: Final answer
    x = 596.37

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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.