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Finding the Fourth Proportional to 518.08, 778.08 and 313.03

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Solution

The fourth proportional to 518.08, 778.08 and 313.03 is: 470.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.08 : 778.08 = 313.03 : x
  2. Step 2: Convert to fraction form
    518.08/778.08 = 313.03/x
  3. Step 3: Cross multiply
    518.08x = 778.08 × 313.03
  4. Step 4: Simplify right side
    518.08x = 243,562.38
  5. Step 5: Solve for x
    x = 243,562.38/518.08
  6. Step 6: Final answer
    x = 470.13

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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.