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Finding the Fourth Proportional to 494.50, 681.87 and 407.02

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Solution

The fourth proportional to 494.50, 681.87 and 407.02 is: 561.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.50 : 681.87 = 407.02 : x
  2. Step 2: Convert to fraction form
    494.50/681.87 = 407.02/x
  3. Step 3: Cross multiply
    494.50x = 681.87 × 407.02
  4. Step 4: Simplify right side
    494.50x = 277,534.73
  5. Step 5: Solve for x
    x = 277,534.73/494.50
  6. Step 6: Final answer
    x = 561.24

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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.