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Finding the Fourth Proportional to 640.83, 883.76 and 419.70

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Solution

The fourth proportional to 640.83, 883.76 and 419.70 is: 578.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.83 : 883.76 = 419.70 : x
  2. Step 2: Convert to fraction form
    640.83/883.76 = 419.70/x
  3. Step 3: Cross multiply
    640.83x = 883.76 × 419.70
  4. Step 4: Simplify right side
    640.83x = 370,910.81
  5. Step 5: Solve for x
    x = 370,910.81/640.83
  6. Step 6: Final answer
    x = 578.80

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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.