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Finding the Fourth Proportional to 635.99, 954.79 and 429.71

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Solution

The fourth proportional to 635.99, 954.79 and 429.71 is: 645.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.99 : 954.79 = 429.71 : x
  2. Step 2: Convert to fraction form
    635.99/954.79 = 429.71/x
  3. Step 3: Cross multiply
    635.99x = 954.79 × 429.71
  4. Step 4: Simplify right side
    635.99x = 410,276.96
  5. Step 5: Solve for x
    x = 410,276.96/635.99
  6. Step 6: Final answer
    x = 645.10

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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.