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Finding the Fourth Proportional to 427.83, 642.01 and 184.35

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Solution

The fourth proportional to 427.83, 642.01 and 184.35 is: 276.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.83 : 642.01 = 184.35 : x
  2. Step 2: Convert to fraction form
    427.83/642.01 = 184.35/x
  3. Step 3: Cross multiply
    427.83x = 642.01 × 184.35
  4. Step 4: Simplify right side
    427.83x = 118,354.08
  5. Step 5: Solve for x
    x = 118,354.08/427.83
  6. Step 6: Final answer
    x = 276.64

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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.