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Finding the Fourth Proportional to 309.70, 463.29 and 282.46

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Solution

The fourth proportional to 309.70, 463.29 and 282.46 is: 422.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.70 : 463.29 = 282.46 : x
  2. Step 2: Convert to fraction form
    309.70/463.29 = 282.46/x
  3. Step 3: Cross multiply
    309.70x = 463.29 × 282.46
  4. Step 4: Simplify right side
    309.70x = 130,860.89
  5. Step 5: Solve for x
    x = 130,860.89/309.70
  6. Step 6: Final answer
    x = 422.54

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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.