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Finding the Fourth Proportional to 384.68, 576.70 and 282.28

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Solution

The fourth proportional to 384.68, 576.70 and 282.28 is: 423.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.68 : 576.70 = 282.28 : x
  2. Step 2: Convert to fraction form
    384.68/576.70 = 282.28/x
  3. Step 3: Cross multiply
    384.68x = 576.70 × 282.28
  4. Step 4: Simplify right side
    384.68x = 162,790.88
  5. Step 5: Solve for x
    x = 162,790.88/384.68
  6. Step 6: Final answer
    x = 423.19

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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.