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Finding the Fourth Proportional to 612.63, 844.74 and 494.46

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Solution

The fourth proportional to 612.63, 844.74 and 494.46 is: 681.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.63 : 844.74 = 494.46 : x
  2. Step 2: Convert to fraction form
    612.63/844.74 = 494.46/x
  3. Step 3: Cross multiply
    612.63x = 844.74 × 494.46
  4. Step 4: Simplify right side
    612.63x = 417,690.14
  5. Step 5: Solve for x
    x = 417,690.14/612.63
  6. Step 6: Final answer
    x = 681.80

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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.