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Finding the Fourth Proportional to 343.08, 512.16 and 296.64

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Solution

The fourth proportional to 343.08, 512.16 and 296.64 is: 442.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.08 : 512.16 = 296.64 : x
  2. Step 2: Convert to fraction form
    343.08/512.16 = 296.64/x
  3. Step 3: Cross multiply
    343.08x = 512.16 × 296.64
  4. Step 4: Simplify right side
    343.08x = 151,927.14
  5. Step 5: Solve for x
    x = 151,927.14/343.08
  6. Step 6: Final answer
    x = 442.83

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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.