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Finding the Fourth Proportional to 428.49, 642.33 and 184.95

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Solution

The fourth proportional to 428.49, 642.33 and 184.95 is: 277.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.49 : 642.33 = 184.95 : x
  2. Step 2: Convert to fraction form
    428.49/642.33 = 184.95/x
  3. Step 3: Cross multiply
    428.49x = 642.33 × 184.95
  4. Step 4: Simplify right side
    428.49x = 118,798.93
  5. Step 5: Solve for x
    x = 118,798.93/428.49
  6. Step 6: Final answer
    x = 277.25

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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.