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Finding the Fourth Proportional to 456.53, 684.66 and 182.63

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Solution

The fourth proportional to 456.53, 684.66 and 182.63 is: 273.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.53 : 684.66 = 182.63 : x
  2. Step 2: Convert to fraction form
    456.53/684.66 = 182.63/x
  3. Step 3: Cross multiply
    456.53x = 684.66 × 182.63
  4. Step 4: Simplify right side
    456.53x = 125,039.46
  5. Step 5: Solve for x
    x = 125,039.46/456.53
  6. Step 6: Final answer
    x = 273.89

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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.