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Finding the Fourth Proportional to 456.10, 683.62 and 273.10

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Solution

The fourth proportional to 456.10, 683.62 and 273.10 is: 409.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.10 : 683.62 = 273.10 : x
  2. Step 2: Convert to fraction form
    456.10/683.62 = 273.10/x
  3. Step 3: Cross multiply
    456.10x = 683.62 × 273.10
  4. Step 4: Simplify right side
    456.10x = 186,696.62
  5. Step 5: Solve for x
    x = 186,696.62/456.10
  6. Step 6: Final answer
    x = 409.33

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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.