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Finding the Fourth Proportional to 309.79, 464.54 and 93.32

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Solution

The fourth proportional to 309.79, 464.54 and 93.32 is: 139.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.79 : 464.54 = 93.32 : x
  2. Step 2: Convert to fraction form
    309.79/464.54 = 93.32/x
  3. Step 3: Cross multiply
    309.79x = 464.54 × 93.32
  4. Step 4: Simplify right side
    309.79x = 43,348.08
  5. Step 5: Solve for x
    x = 43,348.08/309.79
  6. Step 6: Final answer
    x = 139.93

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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.