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Finding the Fourth Proportional to 518.62, 778.61 and 475.64

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Solution

The fourth proportional to 518.62, 778.61 and 475.64 is: 714.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.62 : 778.61 = 475.64 : x
  2. Step 2: Convert to fraction form
    518.62/778.61 = 475.64/x
  3. Step 3: Cross multiply
    518.62x = 778.61 × 475.64
  4. Step 4: Simplify right side
    518.62x = 370,331.79
  5. Step 5: Solve for x
    x = 370,331.79/518.62
  6. Step 6: Final answer
    x = 714.08

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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.