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Finding the Fourth Proportional to 635.52, 954.72 and 419.52

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Solution

The fourth proportional to 635.52, 954.72 and 419.52 is: 630.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.52 : 954.72 = 419.52 : x
  2. Step 2: Convert to fraction form
    635.52/954.72 = 419.52/x
  3. Step 3: Cross multiply
    635.52x = 954.72 × 419.52
  4. Step 4: Simplify right side
    635.52x = 400,524.13
  5. Step 5: Solve for x
    x = 400,524.13/635.52
  6. Step 6: Final answer
    x = 630.23

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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.