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Finding the Fourth Proportional to 522.37, 779.81 and 444.50

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Solution

The fourth proportional to 522.37, 779.81 and 444.50 is: 663.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.37 : 779.81 = 444.50 : x
  2. Step 2: Convert to fraction form
    522.37/779.81 = 444.50/x
  3. Step 3: Cross multiply
    522.37x = 779.81 × 444.50
  4. Step 4: Simplify right side
    522.37x = 346,625.55
  5. Step 5: Solve for x
    x = 346,625.55/522.37
  6. Step 6: Final answer
    x = 663.56

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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.