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Finding the Fourth Proportional to 518.35, 715.41 and 297.26

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Solution

The fourth proportional to 518.35, 715.41 and 297.26 is: 410.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.35 : 715.41 = 297.26 : x
  2. Step 2: Convert to fraction form
    518.35/715.41 = 297.26/x
  3. Step 3: Cross multiply
    518.35x = 715.41 × 297.26
  4. Step 4: Simplify right side
    518.35x = 212,659.20
  5. Step 5: Solve for x
    x = 212,659.20/518.35
  6. Step 6: Final answer
    x = 410.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.