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Finding the Fourth Proportional to 456.37, 683.90 and 260.97

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Solution

The fourth proportional to 456.37, 683.90 and 260.97 is: 391.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.37 : 683.90 = 260.97 : x
  2. Step 2: Convert to fraction form
    456.37/683.90 = 260.97/x
  3. Step 3: Cross multiply
    456.37x = 683.90 × 260.97
  4. Step 4: Simplify right side
    456.37x = 178,477.38
  5. Step 5: Solve for x
    x = 178,477.38/456.37
  6. Step 6: Final answer
    x = 391.08

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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.