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Finding the Fourth Proportional to 495.77, 684.17 and 296.60

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Solution

The fourth proportional to 495.77, 684.17 and 296.60 is: 409.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.77 : 684.17 = 296.60 : x
  2. Step 2: Convert to fraction form
    495.77/684.17 = 296.60/x
  3. Step 3: Cross multiply
    495.77x = 684.17 × 296.60
  4. Step 4: Simplify right side
    495.77x = 202,919.92
  5. Step 5: Solve for x
    x = 202,919.92/495.77
  6. Step 6: Final answer
    x = 409.31

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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.