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Finding the Fourth Proportional to 544.53, 816.66 and 457.94

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Solution

The fourth proportional to 544.53, 816.66 and 457.94 is: 686.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.53 : 816.66 = 457.94 : x
  2. Step 2: Convert to fraction form
    544.53/816.66 = 457.94/x
  3. Step 3: Cross multiply
    544.53x = 816.66 × 457.94
  4. Step 4: Simplify right side
    544.53x = 373,977.20
  5. Step 5: Solve for x
    x = 373,977.20/544.53
  6. Step 6: Final answer
    x = 686.79

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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.