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Finding the Fourth Proportional to 434.96, 652.50 and 142.46

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Solution

The fourth proportional to 434.96, 652.50 and 142.46 is: 213.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.96 : 652.50 = 142.46 : x
  2. Step 2: Convert to fraction form
    434.96/652.50 = 142.46/x
  3. Step 3: Cross multiply
    434.96x = 652.50 × 142.46
  4. Step 4: Simplify right side
    434.96x = 92,955.15
  5. Step 5: Solve for x
    x = 92,955.15/434.96
  6. Step 6: Final answer
    x = 213.71

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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.