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Finding the Fourth Proportional to 518.29, 776.95 and 335.14

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Solution

The fourth proportional to 518.29, 776.95 and 335.14 is: 502.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.29 : 776.95 = 335.14 : x
  2. Step 2: Convert to fraction form
    518.29/776.95 = 335.14/x
  3. Step 3: Cross multiply
    518.29x = 776.95 × 335.14
  4. Step 4: Simplify right side
    518.29x = 260,387.02
  5. Step 5: Solve for x
    x = 260,387.02/518.29
  6. Step 6: Final answer
    x = 502.40

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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.