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Finding the Fourth Proportional to 677.06, 1,014.68 and 306.64

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Solution

The fourth proportional to 677.06, 1,014.68 and 306.64 is: 459.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.06 : 1,014.68 = 306.64 : x
  2. Step 2: Convert to fraction form
    677.06/1,014.68 = 306.64/x
  3. Step 3: Cross multiply
    677.06x = 1,014.68 × 306.64
  4. Step 4: Simplify right side
    677.06x = 311,136.08
  5. Step 5: Solve for x
    x = 311,136.08/677.06
  6. Step 6: Final answer
    x = 459.54

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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.