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Finding the Fourth Proportional to 522.68, 779.36 and 467.96

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Solution

The fourth proportional to 522.68, 779.36 and 467.96 is: 697.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.68 : 779.36 = 467.96 : x
  2. Step 2: Convert to fraction form
    522.68/779.36 = 467.96/x
  3. Step 3: Cross multiply
    522.68x = 779.36 × 467.96
  4. Step 4: Simplify right side
    522.68x = 364,709.31
  5. Step 5: Solve for x
    x = 364,709.31/522.68
  6. Step 6: Final answer
    x = 697.77

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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.