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Finding the Fourth Proportional to 903.26, 1,354.62 and 382.70

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Solution

The fourth proportional to 903.26, 1,354.62 and 382.70 is: 573.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.26 : 1,354.62 = 382.70 : x
  2. Step 2: Convert to fraction form
    903.26/1,354.62 = 382.70/x
  3. Step 3: Cross multiply
    903.26x = 1,354.62 × 382.70
  4. Step 4: Simplify right side
    903.26x = 518,413.07
  5. Step 5: Solve for x
    x = 518,413.07/903.26
  6. Step 6: Final answer
    x = 573.94

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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.