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Finding the Fourth Proportional to 518.19, 715.29 and 343.59

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Solution

The fourth proportional to 518.19, 715.29 and 343.59 is: 474.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.19 : 715.29 = 343.59 : x
  2. Step 2: Convert to fraction form
    518.19/715.29 = 343.59/x
  3. Step 3: Cross multiply
    518.19x = 715.29 × 343.59
  4. Step 4: Simplify right side
    518.19x = 245,766.49
  5. Step 5: Solve for x
    x = 245,766.49/518.19
  6. Step 6: Final answer
    x = 474.28

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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.