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Finding the Fourth Proportional to 617.96, 927.16 and 289.08

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Solution

The fourth proportional to 617.96, 927.16 and 289.08 is: 433.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.96 : 927.16 = 289.08 : x
  2. Step 2: Convert to fraction form
    617.96/927.16 = 289.08/x
  3. Step 3: Cross multiply
    617.96x = 927.16 × 289.08
  4. Step 4: Simplify right side
    617.96x = 268,017.33
  5. Step 5: Solve for x
    x = 268,017.33/617.96
  6. Step 6: Final answer
    x = 433.72

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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.