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Finding the Fourth Proportional to 518.35, 715.42 and 294.29

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Solution

The fourth proportional to 518.35, 715.42 and 294.29 is: 406.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.35 : 715.42 = 294.29 : x
  2. Step 2: Convert to fraction form
    518.35/715.42 = 294.29/x
  3. Step 3: Cross multiply
    518.35x = 715.42 × 294.29
  4. Step 4: Simplify right side
    518.35x = 210,537.37
  5. Step 5: Solve for x
    x = 210,537.37/518.35
  6. Step 6: Final answer
    x = 406.17

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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.