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Finding the Fourth Proportional to 583.60, 799.60 and 575.52

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Solution

The fourth proportional to 583.60, 799.60 and 575.52 is: 788.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.60 : 799.60 = 575.52 : x
  2. Step 2: Convert to fraction form
    583.60/799.60 = 575.52/x
  3. Step 3: Cross multiply
    583.60x = 799.60 × 575.52
  4. Step 4: Simplify right side
    583.60x = 460,185.79
  5. Step 5: Solve for x
    x = 460,185.79/583.60
  6. Step 6: Final answer
    x = 788.53

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.