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Finding the Fourth Proportional to 338.40, 509.76 and 338.40

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Solution

The fourth proportional to 338.40, 509.76 and 338.40 is: 509.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.40 : 509.76 = 338.40 : x
  2. Step 2: Convert to fraction form
    338.40/509.76 = 338.40/x
  3. Step 3: Cross multiply
    338.40x = 509.76 × 338.40
  4. Step 4: Simplify right side
    338.40x = 172,502.78
  5. Step 5: Solve for x
    x = 172,502.78/338.40
  6. Step 6: Final answer
    x = 509.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.