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Finding the Fourth Proportional to 614.18, 921.11 and 289.22

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Solution

The fourth proportional to 614.18, 921.11 and 289.22 is: 433.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.18 : 921.11 = 289.22 : x
  2. Step 2: Convert to fraction form
    614.18/921.11 = 289.22/x
  3. Step 3: Cross multiply
    614.18x = 921.11 × 289.22
  4. Step 4: Simplify right side
    614.18x = 266,403.43
  5. Step 5: Solve for x
    x = 266,403.43/614.18
  6. Step 6: Final answer
    x = 433.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.