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Finding the Fourth Proportional to 435.30, 652.77 and 229.74

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Solution

The fourth proportional to 435.30, 652.77 and 229.74 is: 344.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.30 : 652.77 = 229.74 : x
  2. Step 2: Convert to fraction form
    435.30/652.77 = 229.74/x
  3. Step 3: Cross multiply
    435.30x = 652.77 × 229.74
  4. Step 4: Simplify right side
    435.30x = 149,967.38
  5. Step 5: Solve for x
    x = 149,967.38/435.30
  6. Step 6: Final answer
    x = 344.52

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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.