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Finding the Fourth Proportional to 646.74, 892.53 and 366.99

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Solution

The fourth proportional to 646.74, 892.53 and 366.99 is: 506.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.74 : 892.53 = 366.99 : x
  2. Step 2: Convert to fraction form
    646.74/892.53 = 366.99/x
  3. Step 3: Cross multiply
    646.74x = 892.53 × 366.99
  4. Step 4: Simplify right side
    646.74x = 327,549.58
  5. Step 5: Solve for x
    x = 327,549.58/646.74
  6. Step 6: Final answer
    x = 506.46

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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.