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Finding the Fourth Proportional to 518.79, 715.60 and 344.14

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Solution

The fourth proportional to 518.79, 715.60 and 344.14 is: 474.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.79 : 715.60 = 344.14 : x
  2. Step 2: Convert to fraction form
    518.79/715.60 = 344.14/x
  3. Step 3: Cross multiply
    518.79x = 715.60 × 344.14
  4. Step 4: Simplify right side
    518.79x = 246,266.58
  5. Step 5: Solve for x
    x = 246,266.58/518.79
  6. Step 6: Final answer
    x = 474.69

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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.