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Finding the Fourth Proportional to 338.42, 507.17 and 256.08

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Solution

The fourth proportional to 338.42, 507.17 and 256.08 is: 383.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.42 : 507.17 = 256.08 : x
  2. Step 2: Convert to fraction form
    338.42/507.17 = 256.08/x
  3. Step 3: Cross multiply
    338.42x = 507.17 × 256.08
  4. Step 4: Simplify right side
    338.42x = 129,875.59
  5. Step 5: Solve for x
    x = 129,875.59/338.42
  6. Step 6: Final answer
    x = 383.78

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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.