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Finding the Fourth Proportional to 544.36, 813.06 and 471.46

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Solution

The fourth proportional to 544.36, 813.06 and 471.46 is: 704.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.36 : 813.06 = 471.46 : x
  2. Step 2: Convert to fraction form
    544.36/813.06 = 471.46/x
  3. Step 3: Cross multiply
    544.36x = 813.06 × 471.46
  4. Step 4: Simplify right side
    544.36x = 383,325.27
  5. Step 5: Solve for x
    x = 383,325.27/544.36
  6. Step 6: Final answer
    x = 704.18

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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.