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Finding the Fourth Proportional to 306.57, 460.06 and 257.06

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Solution

The fourth proportional to 306.57, 460.06 and 257.06 is: 385.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.57 : 460.06 = 257.06 : x
  2. Step 2: Convert to fraction form
    306.57/460.06 = 257.06/x
  3. Step 3: Cross multiply
    306.57x = 460.06 × 257.06
  4. Step 4: Simplify right side
    306.57x = 118,261.81
  5. Step 5: Solve for x
    x = 118,261.81/306.57
  6. Step 6: Final answer
    x = 385.76

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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.