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Finding the Fourth Proportional to 306.57, 459.69 and 245.82

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Solution

The fourth proportional to 306.57, 459.69 and 245.82 is: 368.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.57 : 459.69 = 245.82 : x
  2. Step 2: Convert to fraction form
    306.57/459.69 = 245.82/x
  3. Step 3: Cross multiply
    306.57x = 459.69 × 245.82
  4. Step 4: Simplify right side
    306.57x = 113,001.00
  5. Step 5: Solve for x
    x = 113,001.00/306.57
  6. Step 6: Final answer
    x = 368.60

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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.