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Finding the Fourth Proportional to 309.54, 464.70 and 308.01

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Solution

The fourth proportional to 309.54, 464.70 and 308.01 is: 462.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.54 : 464.70 = 308.01 : x
  2. Step 2: Convert to fraction form
    309.54/464.70 = 308.01/x
  3. Step 3: Cross multiply
    309.54x = 464.70 × 308.01
  4. Step 4: Simplify right side
    309.54x = 143,132.25
  5. Step 5: Solve for x
    x = 143,132.25/309.54
  6. Step 6: Final answer
    x = 462.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.