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Finding the Fourth Proportional to 520.32, 779.84 and 371.84

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Solution

The fourth proportional to 520.32, 779.84 and 371.84 is: 557.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.32 : 779.84 = 371.84 : x
  2. Step 2: Convert to fraction form
    520.32/779.84 = 371.84/x
  3. Step 3: Cross multiply
    520.32x = 779.84 × 371.84
  4. Step 4: Simplify right side
    520.32x = 289,975.71
  5. Step 5: Solve for x
    x = 289,975.71/520.32
  6. Step 6: Final answer
    x = 557.30

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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.