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Finding the Fourth Proportional to 588.00, 880.27 and 434.61

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Solution

The fourth proportional to 588.00, 880.27 and 434.61 is: 650.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.00 : 880.27 = 434.61 : x
  2. Step 2: Convert to fraction form
    588.00/880.27 = 434.61/x
  3. Step 3: Cross multiply
    588.00x = 880.27 × 434.61
  4. Step 4: Simplify right side
    588.00x = 382,571.97
  5. Step 5: Solve for x
    x = 382,571.97/588.00
  6. Step 6: Final answer
    x = 650.64

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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.