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Finding the Fourth Proportional to 621.77, 932.00 and 256.05

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Solution

The fourth proportional to 621.77, 932.00 and 256.05 is: 383.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.77 : 932.00 = 256.05 : x
  2. Step 2: Convert to fraction form
    621.77/932.00 = 256.05/x
  3. Step 3: Cross multiply
    621.77x = 932.00 × 256.05
  4. Step 4: Simplify right side
    621.77x = 238,637.32
  5. Step 5: Solve for x
    x = 238,637.32/621.77
  6. Step 6: Final answer
    x = 383.81

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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.