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Finding the Fourth Proportional to 410.94, 616.52 and 228.46

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Solution

The fourth proportional to 410.94, 616.52 and 228.46 is: 342.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.94 : 616.52 = 228.46 : x
  2. Step 2: Convert to fraction form
    410.94/616.52 = 228.46/x
  3. Step 3: Cross multiply
    410.94x = 616.52 × 228.46
  4. Step 4: Simplify right side
    410.94x = 140,848.35
  5. Step 5: Solve for x
    x = 140,848.35/410.94
  6. Step 6: Final answer
    x = 342.75

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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.