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Finding the Fourth Proportional to 456.70, 685.44 and 182.98

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Solution

The fourth proportional to 456.70, 685.44 and 182.98 is: 274.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.70 : 685.44 = 182.98 : x
  2. Step 2: Convert to fraction form
    456.70/685.44 = 182.98/x
  3. Step 3: Cross multiply
    456.70x = 685.44 × 182.98
  4. Step 4: Simplify right side
    456.70x = 125,421.81
  5. Step 5: Solve for x
    x = 125,421.81/456.70
  6. Step 6: Final answer
    x = 274.63

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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.