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Finding the Fourth Proportional to 612.36, 844.74 and 446.30

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Solution

The fourth proportional to 612.36, 844.74 and 446.30 is: 615.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.36 : 844.74 = 446.30 : x
  2. Step 2: Convert to fraction form
    612.36/844.74 = 446.30/x
  3. Step 3: Cross multiply
    612.36x = 844.74 × 446.30
  4. Step 4: Simplify right side
    612.36x = 377,007.46
  5. Step 5: Solve for x
    x = 377,007.46/612.36
  6. Step 6: Final answer
    x = 615.66

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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.