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Finding the Fourth Proportional to 518.14, 777.43 and 312.86

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Solution

The fourth proportional to 518.14, 777.43 and 312.86 is: 469.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.14 : 777.43 = 312.86 : x
  2. Step 2: Convert to fraction form
    518.14/777.43 = 312.86/x
  3. Step 3: Cross multiply
    518.14x = 777.43 × 312.86
  4. Step 4: Simplify right side
    518.14x = 243,226.75
  5. Step 5: Solve for x
    x = 243,226.75/518.14
  6. Step 6: Final answer
    x = 469.42

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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.