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Finding the Fourth Proportional to 435.48, 652.24 and 252.42

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Solution

The fourth proportional to 435.48, 652.24 and 252.42 is: 378.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.48 : 652.24 = 252.42 : x
  2. Step 2: Convert to fraction form
    435.48/652.24 = 252.42/x
  3. Step 3: Cross multiply
    435.48x = 652.24 × 252.42
  4. Step 4: Simplify right side
    435.48x = 164,638.42
  5. Step 5: Solve for x
    x = 164,638.42/435.48
  6. Step 6: Final answer
    x = 378.06

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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.