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Finding the Fourth Proportional to 340.51, 509.85 and 296.97

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Solution

The fourth proportional to 340.51, 509.85 and 296.97 is: 444.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.51 : 509.85 = 296.97 : x
  2. Step 2: Convert to fraction form
    340.51/509.85 = 296.97/x
  3. Step 3: Cross multiply
    340.51x = 509.85 × 296.97
  4. Step 4: Simplify right side
    340.51x = 151,410.15
  5. Step 5: Solve for x
    x = 151,410.15/340.51
  6. Step 6: Final answer
    x = 444.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.