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Finding the Fourth Proportional to 309.51, 427.32 and 230.74

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Solution

The fourth proportional to 309.51, 427.32 and 230.74 is: 318.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.51 : 427.32 = 230.74 : x
  2. Step 2: Convert to fraction form
    309.51/427.32 = 230.74/x
  3. Step 3: Cross multiply
    309.51x = 427.32 × 230.74
  4. Step 4: Simplify right side
    309.51x = 98,598.75
  5. Step 5: Solve for x
    x = 98,598.75/309.51
  6. Step 6: Final answer
    x = 318.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.