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Finding the Fourth Proportional to 621.75, 932.48 and 256.48

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Solution

The fourth proportional to 621.75, 932.48 and 256.48 is: 384.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.75 : 932.48 = 256.48 : x
  2. Step 2: Convert to fraction form
    621.75/932.48 = 256.48/x
  3. Step 3: Cross multiply
    621.75x = 932.48 × 256.48
  4. Step 4: Simplify right side
    621.75x = 239,162.47
  5. Step 5: Solve for x
    x = 239,162.47/621.75
  6. Step 6: Final answer
    x = 384.66

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