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Finding the Fourth Proportional to 456.12, 683.50 and 309.68

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Solution

The fourth proportional to 456.12, 683.50 and 309.68 is: 464.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.12 : 683.50 = 309.68 : x
  2. Step 2: Convert to fraction form
    456.12/683.50 = 309.68/x
  3. Step 3: Cross multiply
    456.12x = 683.50 × 309.68
  4. Step 4: Simplify right side
    456.12x = 211,666.28
  5. Step 5: Solve for x
    x = 211,666.28/456.12
  6. Step 6: Final answer
    x = 464.06

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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.