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Finding the Fourth Proportional to 518.54, 715.60 and 294.46

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Solution

The fourth proportional to 518.54, 715.60 and 294.46 is: 406.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.54 : 715.60 = 294.46 : x
  2. Step 2: Convert to fraction form
    518.54/715.60 = 294.46/x
  3. Step 3: Cross multiply
    518.54x = 715.60 × 294.46
  4. Step 4: Simplify right side
    518.54x = 210,715.58
  5. Step 5: Solve for x
    x = 210,715.58/518.54
  6. Step 6: Final answer
    x = 406.36

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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.