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Finding the Fourth Proportional to 634.00, 873.87 and 424.10

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Solution

The fourth proportional to 634.00, 873.87 and 424.10 is: 584.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.00 : 873.87 = 424.10 : x
  2. Step 2: Convert to fraction form
    634.00/873.87 = 424.10/x
  3. Step 3: Cross multiply
    634.00x = 873.87 × 424.10
  4. Step 4: Simplify right side
    634.00x = 370,608.77
  5. Step 5: Solve for x
    x = 370,608.77/634.00
  6. Step 6: Final answer
    x = 584.56

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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.