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Finding the Fourth Proportional to 544.21, 816.32 and 313.45

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Solution

The fourth proportional to 544.21, 816.32 and 313.45 is: 470.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.21 : 816.32 = 313.45 : x
  2. Step 2: Convert to fraction form
    544.21/816.32 = 313.45/x
  3. Step 3: Cross multiply
    544.21x = 816.32 × 313.45
  4. Step 4: Simplify right side
    544.21x = 255,873.94
  5. Step 5: Solve for x
    x = 255,873.94/544.21
  6. Step 6: Final answer
    x = 470.18

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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.