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Finding the Fourth Proportional to 621.64, 932.51 and 256.51

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Solution

The fourth proportional to 621.64, 932.51 and 256.51 is: 384.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.64 : 932.51 = 256.51 : x
  2. Step 2: Convert to fraction form
    621.64/932.51 = 256.51/x
  3. Step 3: Cross multiply
    621.64x = 932.51 × 256.51
  4. Step 4: Simplify right side
    621.64x = 239,198.14
  5. Step 5: Solve for x
    x = 239,198.14/621.64
  6. Step 6: Final answer
    x = 384.79

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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.