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Finding the Fourth Proportional to 617.10, 920.60 and 584.70

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Solution

The fourth proportional to 617.10, 920.60 and 584.70 is: 872.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.10 : 920.60 = 584.70 : x
  2. Step 2: Convert to fraction form
    617.10/920.60 = 584.70/x
  3. Step 3: Cross multiply
    617.10x = 920.60 × 584.70
  4. Step 4: Simplify right side
    617.10x = 538,271.90
  5. Step 5: Solve for x
    x = 538,271.90/617.10
  6. Step 6: Final answer
    x = 872.26

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.