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Finding the Fourth Proportional to 338.12, 506.88 and 256.76

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Solution

The fourth proportional to 338.12, 506.88 and 256.76 is: 384.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.12 : 506.88 = 256.76 : x
  2. Step 2: Convert to fraction form
    338.12/506.88 = 256.76/x
  3. Step 3: Cross multiply
    338.12x = 506.88 × 256.76
  4. Step 4: Simplify right side
    338.12x = 130,146.51
  5. Step 5: Solve for x
    x = 130,146.51/338.12
  6. Step 6: Final answer
    x = 384.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.