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Finding the Fourth Proportional to 849.68, 1,274.71 and 256.68

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Solution

The fourth proportional to 849.68, 1,274.71 and 256.68 is: 385.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.68 : 1,274.71 = 256.68 : x
  2. Step 2: Convert to fraction form
    849.68/1,274.71 = 256.68/x
  3. Step 3: Cross multiply
    849.68x = 1,274.71 × 256.68
  4. Step 4: Simplify right side
    849.68x = 327,188.10
  5. Step 5: Solve for x
    x = 327,188.10/849.68
  6. Step 6: Final answer
    x = 385.07

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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.