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Finding the Fourth Proportional to 544.53, 812.94 and 462.54

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Solution

The fourth proportional to 544.53, 812.94 and 462.54 is: 690.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.53 : 812.94 = 462.54 : x
  2. Step 2: Convert to fraction form
    544.53/812.94 = 462.54/x
  3. Step 3: Cross multiply
    544.53x = 812.94 × 462.54
  4. Step 4: Simplify right side
    544.53x = 376,017.27
  5. Step 5: Solve for x
    x = 376,017.27/544.53
  6. Step 6: Final answer
    x = 690.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.