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Finding the Fourth Proportional to 362.43, 544.46 and 313.83

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Solution

The fourth proportional to 362.43, 544.46 and 313.83 is: 471.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.43 : 544.46 = 313.83 : x
  2. Step 2: Convert to fraction form
    362.43/544.46 = 313.83/x
  3. Step 3: Cross multiply
    362.43x = 544.46 × 313.83
  4. Step 4: Simplify right side
    362.43x = 170,866.31
  5. Step 5: Solve for x
    x = 170,866.31/362.43
  6. Step 6: Final answer
    x = 471.45

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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.