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Finding the Fourth Proportional to 520.36, 779.12 and 346.64

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Solution

The fourth proportional to 520.36, 779.12 and 346.64 is: 519.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.36 : 779.12 = 346.64 : x
  2. Step 2: Convert to fraction form
    520.36/779.12 = 346.64/x
  3. Step 3: Cross multiply
    520.36x = 779.12 × 346.64
  4. Step 4: Simplify right side
    520.36x = 270,074.16
  5. Step 5: Solve for x
    x = 270,074.16/520.36
  6. Step 6: Final answer
    x = 519.01

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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.