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Finding the Fourth Proportional to 518.49, 715.62 and 297.59

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Solution

The fourth proportional to 518.49, 715.62 and 297.59 is: 410.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.49 : 715.62 = 297.59 : x
  2. Step 2: Convert to fraction form
    518.49/715.62 = 297.59/x
  3. Step 3: Cross multiply
    518.49x = 715.62 × 297.59
  4. Step 4: Simplify right side
    518.49x = 212,961.36
  5. Step 5: Solve for x
    x = 212,961.36/518.49
  6. Step 6: Final answer
    x = 410.73

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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.