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Finding the Fourth Proportional to 544.68, 817.38 and 456.66

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Solution

The fourth proportional to 544.68, 817.38 and 456.66 is: 685.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.68 : 817.38 = 456.66 : x
  2. Step 2: Convert to fraction form
    544.68/817.38 = 456.66/x
  3. Step 3: Cross multiply
    544.68x = 817.38 × 456.66
  4. Step 4: Simplify right side
    544.68x = 373,264.75
  5. Step 5: Solve for x
    x = 373,264.75/544.68
  6. Step 6: Final answer
    x = 685.29

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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.