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Finding the Fourth Proportional to 306.36, 458.49 and 257.66

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Solution

The fourth proportional to 306.36, 458.49 and 257.66 is: 385.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.36 : 458.49 = 257.66 : x
  2. Step 2: Convert to fraction form
    306.36/458.49 = 257.66/x
  3. Step 3: Cross multiply
    306.36x = 458.49 × 257.66
  4. Step 4: Simplify right side
    306.36x = 118,132.24
  5. Step 5: Solve for x
    x = 118,132.24/306.36
  6. Step 6: Final answer
    x = 385.60

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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.