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Finding the Fourth Proportional to 296.63, 409.35 and 170.60

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Solution

The fourth proportional to 296.63, 409.35 and 170.60 is: 235.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.63 : 409.35 = 170.60 : x
  2. Step 2: Convert to fraction form
    296.63/409.35 = 170.60/x
  3. Step 3: Cross multiply
    296.63x = 409.35 × 170.60
  4. Step 4: Simplify right side
    296.63x = 69,835.11
  5. Step 5: Solve for x
    x = 69,835.11/296.63
  6. Step 6: Final answer
    x = 235.43

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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.