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Finding the Fourth Proportional to 306.40, 460.14 and 285.97

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Solution

The fourth proportional to 306.40, 460.14 and 285.97 is: 429.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.40 : 460.14 = 285.97 : x
  2. Step 2: Convert to fraction form
    306.40/460.14 = 285.97/x
  3. Step 3: Cross multiply
    306.40x = 460.14 × 285.97
  4. Step 4: Simplify right side
    306.40x = 131,586.24
  5. Step 5: Solve for x
    x = 131,586.24/306.40
  6. Step 6: Final answer
    x = 429.46

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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.