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Finding the Fourth Proportional to 583.74, 804.83 and 373.57

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Solution

The fourth proportional to 583.74, 804.83 and 373.57 is: 515.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.74 : 804.83 = 373.57 : x
  2. Step 2: Convert to fraction form
    583.74/804.83 = 373.57/x
  3. Step 3: Cross multiply
    583.74x = 804.83 × 373.57
  4. Step 4: Simplify right side
    583.74x = 300,656.46
  5. Step 5: Solve for x
    x = 300,656.46/583.74
  6. Step 6: Final answer
    x = 515.05

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