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Finding the Fourth Proportional to 435.10, 652.45 and 252.55

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Solution

The fourth proportional to 435.10, 652.45 and 252.55 is: 378.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.10 : 652.45 = 252.55 : x
  2. Step 2: Convert to fraction form
    435.10/652.45 = 252.55/x
  3. Step 3: Cross multiply
    435.10x = 652.45 × 252.55
  4. Step 4: Simplify right side
    435.10x = 164,771.72
  5. Step 5: Solve for x
    x = 164,771.72/435.10
  6. Step 6: Final answer
    x = 378.70

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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.