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Finding the Fourth Proportional to 518.49, 776.28 and 335.34

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Solution

The fourth proportional to 518.49, 776.28 and 335.34 is: 502.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.49 : 776.28 = 335.34 : x
  2. Step 2: Convert to fraction form
    518.49/776.28 = 335.34/x
  3. Step 3: Cross multiply
    518.49x = 776.28 × 335.34
  4. Step 4: Simplify right side
    518.49x = 260,317.74
  5. Step 5: Solve for x
    x = 260,317.74/518.49
  6. Step 6: Final answer
    x = 502.07

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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.