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Finding the Fourth Proportional to 544.16, 814.93 and 312.34

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Solution

The fourth proportional to 544.16, 814.93 and 312.34 is: 467.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.16 : 814.93 = 312.34 : x
  2. Step 2: Convert to fraction form
    544.16/814.93 = 312.34/x
  3. Step 3: Cross multiply
    544.16x = 814.93 × 312.34
  4. Step 4: Simplify right side
    544.16x = 254,535.71
  5. Step 5: Solve for x
    x = 254,535.71/544.16
  6. Step 6: Final answer
    x = 467.76

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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.