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Finding the Fourth Proportional to 343.60, 512.42 and 292.57

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Solution

The fourth proportional to 343.60, 512.42 and 292.57 is: 436.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.60 : 512.42 = 292.57 : x
  2. Step 2: Convert to fraction form
    343.60/512.42 = 292.57/x
  3. Step 3: Cross multiply
    343.60x = 512.42 × 292.57
  4. Step 4: Simplify right side
    343.60x = 149,918.72
  5. Step 5: Solve for x
    x = 149,918.72/343.60
  6. Step 6: Final answer
    x = 436.32

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.