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Finding the Fourth Proportional to 617.09, 924.35 and 411.62

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Solution

The fourth proportional to 617.09, 924.35 and 411.62 is: 616.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.09 : 924.35 = 411.62 : x
  2. Step 2: Convert to fraction form
    617.09/924.35 = 411.62/x
  3. Step 3: Cross multiply
    617.09x = 924.35 × 411.62
  4. Step 4: Simplify right side
    617.09x = 380,474.27
  5. Step 5: Solve for x
    x = 380,474.27/617.09
  6. Step 6: Final answer
    x = 616.57

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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.