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Finding the Fourth Proportional to 613.56, 921.54 and 289.14

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Solution

The fourth proportional to 613.56, 921.54 and 289.14 is: 434.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.56 : 921.54 = 289.14 : x
  2. Step 2: Convert to fraction form
    613.56/921.54 = 289.14/x
  3. Step 3: Cross multiply
    613.56x = 921.54 × 289.14
  4. Step 4: Simplify right side
    613.56x = 266,454.08
  5. Step 5: Solve for x
    x = 266,454.08/613.56
  6. Step 6: Final answer
    x = 434.28

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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.