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Finding the Fourth Proportional to 387.28, 579.71 and 282.94

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Solution

The fourth proportional to 387.28, 579.71 and 282.94 is: 423.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.28 : 579.71 = 282.94 : x
  2. Step 2: Convert to fraction form
    387.28/579.71 = 282.94/x
  3. Step 3: Cross multiply
    387.28x = 579.71 × 282.94
  4. Step 4: Simplify right side
    387.28x = 164,024.07
  5. Step 5: Solve for x
    x = 164,024.07/387.28
  6. Step 6: Final answer
    x = 423.53

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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.