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Finding the Fourth Proportional to 518.36, 715.40 and 297.38

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Solution

The fourth proportional to 518.36, 715.40 and 297.38 is: 410.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.36 : 715.40 = 297.38 : x
  2. Step 2: Convert to fraction form
    518.36/715.40 = 297.38/x
  3. Step 3: Cross multiply
    518.36x = 715.40 × 297.38
  4. Step 4: Simplify right side
    518.36x = 212,740.59
  5. Step 5: Solve for x
    x = 212,740.59/518.36
  6. Step 6: Final answer
    x = 410.41

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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.