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Finding the Fourth Proportional to 544.53, 815.41 and 472.42

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Solution

The fourth proportional to 544.53, 815.41 and 472.42 is: 707.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.53 : 815.41 = 472.42 : x
  2. Step 2: Convert to fraction form
    544.53/815.41 = 472.42/x
  3. Step 3: Cross multiply
    544.53x = 815.41 × 472.42
  4. Step 4: Simplify right side
    544.53x = 385,215.99
  5. Step 5: Solve for x
    x = 385,215.99/544.53
  6. Step 6: Final answer
    x = 707.43

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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.