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Finding the Fourth Proportional to 613.80, 917.82 and 429.90

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Solution

The fourth proportional to 613.80, 917.82 and 429.90 is: 642.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.80 : 917.82 = 429.90 : x
  2. Step 2: Convert to fraction form
    613.80/917.82 = 429.90/x
  3. Step 3: Cross multiply
    613.80x = 917.82 × 429.90
  4. Step 4: Simplify right side
    613.80x = 394,570.82
  5. Step 5: Solve for x
    x = 394,570.82/613.80
  6. Step 6: Final answer
    x = 642.83

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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.