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Finding the Fourth Proportional to 384.62, 577.22 and 282.17

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Solution

The fourth proportional to 384.62, 577.22 and 282.17 is: 423.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.62 : 577.22 = 282.17 : x
  2. Step 2: Convert to fraction form
    384.62/577.22 = 282.17/x
  3. Step 3: Cross multiply
    384.62x = 577.22 × 282.17
  4. Step 4: Simplify right side
    384.62x = 162,869.87
  5. Step 5: Solve for x
    x = 162,869.87/384.62
  6. Step 6: Final answer
    x = 423.46

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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.