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Finding the Fourth Proportional to 456.52, 684.89 and 182.65

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Solution

The fourth proportional to 456.52, 684.89 and 182.65 is: 274.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.52 : 684.89 = 182.65 : x
  2. Step 2: Convert to fraction form
    456.52/684.89 = 182.65/x
  3. Step 3: Cross multiply
    456.52x = 684.89 × 182.65
  4. Step 4: Simplify right side
    456.52x = 125,090.82
  5. Step 5: Solve for x
    x = 125,090.82/456.52
  6. Step 6: Final answer
    x = 274.01

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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.