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Finding the Fourth Proportional to 544.10, 810.27 and 509.06

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Solution

The fourth proportional to 544.10, 810.27 and 509.06 is: 758.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.10 : 810.27 = 509.06 : x
  2. Step 2: Convert to fraction form
    544.10/810.27 = 509.06/x
  3. Step 3: Cross multiply
    544.10x = 810.27 × 509.06
  4. Step 4: Simplify right side
    544.10x = 412,471.99
  5. Step 5: Solve for x
    x = 412,471.99/544.10
  6. Step 6: Final answer
    x = 758.09

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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.