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Finding the Fourth Proportional to 518.64, 715.68 and 343.68

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Solution

The fourth proportional to 518.64, 715.68 and 343.68 is: 474.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.64 : 715.68 = 343.68 : x
  2. Step 2: Convert to fraction form
    518.64/715.68 = 343.68/x
  3. Step 3: Cross multiply
    518.64x = 715.68 × 343.68
  4. Step 4: Simplify right side
    518.64x = 245,964.90
  5. Step 5: Solve for x
    x = 245,964.90/518.64
  6. Step 6: Final answer
    x = 474.25

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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.