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Finding the Fourth Proportional to 435.15, 651.81 and 415.10

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Solution

The fourth proportional to 435.15, 651.81 and 415.10 is: 621.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.15 : 651.81 = 415.10 : x
  2. Step 2: Convert to fraction form
    435.15/651.81 = 415.10/x
  3. Step 3: Cross multiply
    435.15x = 651.81 × 415.10
  4. Step 4: Simplify right side
    435.15x = 270,566.33
  5. Step 5: Solve for x
    x = 270,566.33/435.15
  6. Step 6: Final answer
    x = 621.78

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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.