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Finding the Fourth Proportional to 583.41, 804.56 and 575.83

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Solution

The fourth proportional to 583.41, 804.56 and 575.83 is: 794.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.41 : 804.56 = 575.83 : x
  2. Step 2: Convert to fraction form
    583.41/804.56 = 575.83/x
  3. Step 3: Cross multiply
    583.41x = 804.56 × 575.83
  4. Step 4: Simplify right side
    583.41x = 463,289.78
  5. Step 5: Solve for x
    x = 463,289.78/583.41
  6. Step 6: Final answer
    x = 794.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.