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Finding the Fourth Proportional to 274.58, 411.13 and 256.82

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Solution

The fourth proportional to 274.58, 411.13 and 256.82 is: 384.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.58 : 411.13 = 256.82 : x
  2. Step 2: Convert to fraction form
    274.58/411.13 = 256.82/x
  3. Step 3: Cross multiply
    274.58x = 411.13 × 256.82
  4. Step 4: Simplify right side
    274.58x = 105,583.71
  5. Step 5: Solve for x
    x = 105,583.71/274.58
  6. Step 6: Final answer
    x = 384.52

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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.