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Finding the Fourth Proportional to 492.58, 738.64 and 184.33

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Solution

The fourth proportional to 492.58, 738.64 and 184.33 is: 276.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.58 : 738.64 = 184.33 : x
  2. Step 2: Convert to fraction form
    492.58/738.64 = 184.33/x
  3. Step 3: Cross multiply
    492.58x = 738.64 × 184.33
  4. Step 4: Simplify right side
    492.58x = 136,153.51
  5. Step 5: Solve for x
    x = 136,153.51/492.58
  6. Step 6: Final answer
    x = 276.41

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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.