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Finding the Fourth Proportional to 274.06, 410.30 and 256.81

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Solution

The fourth proportional to 274.06, 410.30 and 256.81 is: 384.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.06 : 410.30 = 256.81 : x
  2. Step 2: Convert to fraction form
    274.06/410.30 = 256.81/x
  3. Step 3: Cross multiply
    274.06x = 410.30 × 256.81
  4. Step 4: Simplify right side
    274.06x = 105,369.14
  5. Step 5: Solve for x
    x = 105,369.14/274.06
  6. Step 6: Final answer
    x = 384.48

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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.