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Finding the Fourth Proportional to 407.86, 563.29 and 274.84

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Solution

The fourth proportional to 407.86, 563.29 and 274.84 is: 379.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.86 : 563.29 = 274.84 : x
  2. Step 2: Convert to fraction form
    407.86/563.29 = 274.84/x
  3. Step 3: Cross multiply
    407.86x = 563.29 × 274.84
  4. Step 4: Simplify right side
    407.86x = 154,812.53
  5. Step 5: Solve for x
    x = 154,812.53/407.86
  6. Step 6: Final answer
    x = 379.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.