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Finding the Fourth Proportional to 544.12, 817.16 and 522.10

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Solution

The fourth proportional to 544.12, 817.16 and 522.10 is: 784.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.12 : 817.16 = 522.10 : x
  2. Step 2: Convert to fraction form
    544.12/817.16 = 522.10/x
  3. Step 3: Cross multiply
    544.12x = 817.16 × 522.10
  4. Step 4: Simplify right side
    544.12x = 426,633.05
  5. Step 5: Solve for x
    x = 426,633.05/544.12
  6. Step 6: Final answer
    x = 784.08

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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.