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Finding the Fourth Proportional to 518.30, 715.27 and 297.29

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Solution

The fourth proportional to 518.30, 715.27 and 297.29 is: 410.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.30 : 715.27 = 297.29 : x
  2. Step 2: Convert to fraction form
    518.30/715.27 = 297.29/x
  3. Step 3: Cross multiply
    518.30x = 715.27 × 297.29
  4. Step 4: Simplify right side
    518.30x = 212,645.15
  5. Step 5: Solve for x
    x = 212,645.15/518.30
  6. Step 6: Final answer
    x = 410.27

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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.