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Finding the Fourth Proportional to 518.66, 715.82 and 294.59

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Solution

The fourth proportional to 518.66, 715.82 and 294.59 is: 406.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.66 : 715.82 = 294.59 : x
  2. Step 2: Convert to fraction form
    518.66/715.82 = 294.59/x
  3. Step 3: Cross multiply
    518.66x = 715.82 × 294.59
  4. Step 4: Simplify right side
    518.66x = 210,873.41
  5. Step 5: Solve for x
    x = 210,873.41/518.66
  6. Step 6: Final answer
    x = 406.57

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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.