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Finding the Fourth Proportional to 583.35, 874.11 and 491.63

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Solution

The fourth proportional to 583.35, 874.11 and 491.63 is: 736.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.35 : 874.11 = 491.63 : x
  2. Step 2: Convert to fraction form
    583.35/874.11 = 491.63/x
  3. Step 3: Cross multiply
    583.35x = 874.11 × 491.63
  4. Step 4: Simplify right side
    583.35x = 429,734.33
  5. Step 5: Solve for x
    x = 429,734.33/583.35
  6. Step 6: Final answer
    x = 736.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.