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Finding the Fourth Proportional to 340.64, 511.32 and 231.02

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Solution

The fourth proportional to 340.64, 511.32 and 231.02 is: 346.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.64 : 511.32 = 231.02 : x
  2. Step 2: Convert to fraction form
    340.64/511.32 = 231.02/x
  3. Step 3: Cross multiply
    340.64x = 511.32 × 231.02
  4. Step 4: Simplify right side
    340.64x = 118,125.15
  5. Step 5: Solve for x
    x = 118,125.15/340.64
  6. Step 6: Final answer
    x = 346.77

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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.