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Finding the Fourth Proportional to 1,330.31, 1,995.46 and 356.38

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Solution

The fourth proportional to 1,330.31, 1,995.46 and 356.38 is: 534.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,330.31 : 1,995.46 = 356.38 : x
  2. Step 2: Convert to fraction form
    1,330.31/1,995.46 = 356.38/x
  3. Step 3: Cross multiply
    1,330.31x = 1,995.46 × 356.38
  4. Step 4: Simplify right side
    1,330.31x = 711,143.64
  5. Step 5: Solve for x
    x = 711,143.64/1,330.31
  6. Step 6: Final answer
    x = 534.57

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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.