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Finding the Fourth Proportional to 305.79, 456.69 and 264.75

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Solution

The fourth proportional to 305.79, 456.69 and 264.75 is: 395.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.79 : 456.69 = 264.75 : x
  2. Step 2: Convert to fraction form
    305.79/456.69 = 264.75/x
  3. Step 3: Cross multiply
    305.79x = 456.69 × 264.75
  4. Step 4: Simplify right side
    305.79x = 120,908.68
  5. Step 5: Solve for x
    x = 120,908.68/305.79
  6. Step 6: Final answer
    x = 395.40

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.