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Finding the Fourth Proportional to 456.32, 683.82 and 407.48

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Solution

The fourth proportional to 456.32, 683.82 and 407.48 is: 610.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.32 : 683.82 = 407.48 : x
  2. Step 2: Convert to fraction form
    456.32/683.82 = 407.48/x
  3. Step 3: Cross multiply
    456.32x = 683.82 × 407.48
  4. Step 4: Simplify right side
    456.32x = 278,642.97
  5. Step 5: Solve for x
    x = 278,642.97/456.32
  6. Step 6: Final answer
    x = 610.63

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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.