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Finding the Fourth Proportional to 306.08, 458.40 and 257.84

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Solution

The fourth proportional to 306.08, 458.40 and 257.84 is: 386.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.08 : 458.40 = 257.84 : x
  2. Step 2: Convert to fraction form
    306.08/458.40 = 257.84/x
  3. Step 3: Cross multiply
    306.08x = 458.40 × 257.84
  4. Step 4: Simplify right side
    306.08x = 118,193.86
  5. Step 5: Solve for x
    x = 118,193.86/306.08
  6. Step 6: Final answer
    x = 386.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.