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Finding the Fourth Proportional to 583.13, 804.41 and 373.09

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Solution

The fourth proportional to 583.13, 804.41 and 373.09 is: 514.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.13 : 804.41 = 373.09 : x
  2. Step 2: Convert to fraction form
    583.13/804.41 = 373.09/x
  3. Step 3: Cross multiply
    583.13x = 804.41 × 373.09
  4. Step 4: Simplify right side
    583.13x = 300,117.33
  5. Step 5: Solve for x
    x = 300,117.33/583.13
  6. Step 6: Final answer
    x = 514.67

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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.