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Finding the Fourth Proportional to 624.17, 935.92 and 228.69

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Solution

The fourth proportional to 624.17, 935.92 and 228.69 is: 342.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.17 : 935.92 = 228.69 : x
  2. Step 2: Convert to fraction form
    624.17/935.92 = 228.69/x
  3. Step 3: Cross multiply
    624.17x = 935.92 × 228.69
  4. Step 4: Simplify right side
    624.17x = 214,035.83
  5. Step 5: Solve for x
    x = 214,035.83/624.17
  6. Step 6: Final answer
    x = 342.91

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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.