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Finding the Fourth Proportional to 640.78, 883.77 and 419.69

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Solution

The fourth proportional to 640.78, 883.77 and 419.69 is: 578.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.78 : 883.77 = 419.69 : x
  2. Step 2: Convert to fraction form
    640.78/883.77 = 419.69/x
  3. Step 3: Cross multiply
    640.78x = 883.77 × 419.69
  4. Step 4: Simplify right side
    640.78x = 370,907.34
  5. Step 5: Solve for x
    x = 370,907.34/640.78
  6. Step 6: Final answer
    x = 578.84

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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.