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Finding the Fourth Proportional to 573.92, 860.88 and 381.68

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Solution

The fourth proportional to 573.92, 860.88 and 381.68 is: 572.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.92 : 860.88 = 381.68 : x
  2. Step 2: Convert to fraction form
    573.92/860.88 = 381.68/x
  3. Step 3: Cross multiply
    573.92x = 860.88 × 381.68
  4. Step 4: Simplify right side
    573.92x = 328,580.68
  5. Step 5: Solve for x
    x = 328,580.68/573.92
  6. Step 6: Final answer
    x = 572.52

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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.