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Finding the Fourth Proportional to 583.26, 878.07 and 454.02

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Solution

The fourth proportional to 583.26, 878.07 and 454.02 is: 683.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.26 : 878.07 = 454.02 : x
  2. Step 2: Convert to fraction form
    583.26/878.07 = 454.02/x
  3. Step 3: Cross multiply
    583.26x = 878.07 × 454.02
  4. Step 4: Simplify right side
    583.26x = 398,661.34
  5. Step 5: Solve for x
    x = 398,661.34/583.26
  6. Step 6: Final answer
    x = 683.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.