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Finding the Fourth Proportional to 456.78, 683.66 and 308.35

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Solution

The fourth proportional to 456.78, 683.66 and 308.35 is: 461.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.78 : 683.66 = 308.35 : x
  2. Step 2: Convert to fraction form
    456.78/683.66 = 308.35/x
  3. Step 3: Cross multiply
    456.78x = 683.66 × 308.35
  4. Step 4: Simplify right side
    456.78x = 210,808.19
  5. Step 5: Solve for x
    x = 210,808.19/456.78
  6. Step 6: Final answer
    x = 461.51

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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.