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Finding the Fourth Proportional to 382.61, 573.96 and 287.03

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Solution

The fourth proportional to 382.61, 573.96 and 287.03 is: 430.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.61 : 573.96 = 287.03 : x
  2. Step 2: Convert to fraction form
    382.61/573.96 = 287.03/x
  3. Step 3: Cross multiply
    382.61x = 573.96 × 287.03
  4. Step 4: Simplify right side
    382.61x = 164,743.74
  5. Step 5: Solve for x
    x = 164,743.74/382.61
  6. Step 6: Final answer
    x = 430.58

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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.