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Finding the Fourth Proportional to 634.36, 953.52 and 419.32

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Solution

The fourth proportional to 634.36, 953.52 and 419.32 is: 630.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.36 : 953.52 = 419.32 : x
  2. Step 2: Convert to fraction form
    634.36/953.52 = 419.32/x
  3. Step 3: Cross multiply
    634.36x = 953.52 × 419.32
  4. Step 4: Simplify right side
    634.36x = 399,830.01
  5. Step 5: Solve for x
    x = 399,830.01/634.36
  6. Step 6: Final answer
    x = 630.29

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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.