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Finding the Fourth Proportional to 427.51, 640.87 and 183.99

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Solution

The fourth proportional to 427.51, 640.87 and 183.99 is: 275.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.51 : 640.87 = 183.99 : x
  2. Step 2: Convert to fraction form
    427.51/640.87 = 183.99/x
  3. Step 3: Cross multiply
    427.51x = 640.87 × 183.99
  4. Step 4: Simplify right side
    427.51x = 117,913.67
  5. Step 5: Solve for x
    x = 117,913.67/427.51
  6. Step 6: Final answer
    x = 275.82

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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.