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Finding the Fourth Proportional to 434.66, 652.24 and 203.66

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Solution

The fourth proportional to 434.66, 652.24 and 203.66 is: 305.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.66 : 652.24 = 203.66 : x
  2. Step 2: Convert to fraction form
    434.66/652.24 = 203.66/x
  3. Step 3: Cross multiply
    434.66x = 652.24 × 203.66
  4. Step 4: Simplify right side
    434.66x = 132,835.20
  5. Step 5: Solve for x
    x = 132,835.20/434.66
  6. Step 6: Final answer
    x = 305.61

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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.