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Finding the Fourth Proportional to 428.83, 642.81 and 274.93

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Solution

The fourth proportional to 428.83, 642.81 and 274.93 is: 412.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.83 : 642.81 = 274.93 : x
  2. Step 2: Convert to fraction form
    428.83/642.81 = 274.93/x
  3. Step 3: Cross multiply
    428.83x = 642.81 × 274.93
  4. Step 4: Simplify right side
    428.83x = 176,727.75
  5. Step 5: Solve for x
    x = 176,727.75/428.83
  6. Step 6: Final answer
    x = 412.12

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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.