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Finding the Fourth Proportional to 617.29, 852.83 and 584.89

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Solution

The fourth proportional to 617.29, 852.83 and 584.89 is: 808.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.29 : 852.83 = 584.89 : x
  2. Step 2: Convert to fraction form
    617.29/852.83 = 584.89/x
  3. Step 3: Cross multiply
    617.29x = 852.83 × 584.89
  4. Step 4: Simplify right side
    617.29x = 498,808.81
  5. Step 5: Solve for x
    x = 498,808.81/617.29
  6. Step 6: Final answer
    x = 808.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.