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Finding the Fourth Proportional to 446.12, 616.14 and 376.76

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Solution

The fourth proportional to 446.12, 616.14 and 376.76 is: 520.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.12 : 616.14 = 376.76 : x
  2. Step 2: Convert to fraction form
    446.12/616.14 = 376.76/x
  3. Step 3: Cross multiply
    446.12x = 616.14 × 376.76
  4. Step 4: Simplify right side
    446.12x = 232,138.30
  5. Step 5: Solve for x
    x = 232,138.30/446.12
  6. Step 6: Final answer
    x = 520.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.