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Finding the Fourth Proportional to 306.64, 459.36 and 245.05

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Solution

The fourth proportional to 306.64, 459.36 and 245.05 is: 367.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.64 : 459.36 = 245.05 : x
  2. Step 2: Convert to fraction form
    306.64/459.36 = 245.05/x
  3. Step 3: Cross multiply
    306.64x = 459.36 × 245.05
  4. Step 4: Simplify right side
    306.64x = 112,565.97
  5. Step 5: Solve for x
    x = 112,565.97/306.64
  6. Step 6: Final answer
    x = 367.10

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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.