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Finding the Fourth Proportional to 544.86, 817.29 and 256.14

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Solution

The fourth proportional to 544.86, 817.29 and 256.14 is: 384.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.86 : 817.29 = 256.14 : x
  2. Step 2: Convert to fraction form
    544.86/817.29 = 256.14/x
  3. Step 3: Cross multiply
    544.86x = 817.29 × 256.14
  4. Step 4: Simplify right side
    544.86x = 209,340.66
  5. Step 5: Solve for x
    x = 209,340.66/544.86
  6. Step 6: Final answer
    x = 384.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.