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Finding the Fourth Proportional to 446.88, 616.80 and 309.12

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Solution

The fourth proportional to 446.88, 616.80 and 309.12 is: 426.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.88 : 616.80 = 309.12 : x
  2. Step 2: Convert to fraction form
    446.88/616.80 = 309.12/x
  3. Step 3: Cross multiply
    446.88x = 616.80 × 309.12
  4. Step 4: Simplify right side
    446.88x = 190,665.22
  5. Step 5: Solve for x
    x = 190,665.22/446.88
  6. Step 6: Final answer
    x = 426.66

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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.