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Finding the Fourth Proportional to 583.33, 874.74 and 309.36

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Solution

The fourth proportional to 583.33, 874.74 and 309.36 is: 463.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.33 : 874.74 = 309.36 : x
  2. Step 2: Convert to fraction form
    583.33/874.74 = 309.36/x
  3. Step 3: Cross multiply
    583.33x = 874.74 × 309.36
  4. Step 4: Simplify right side
    583.33x = 270,609.57
  5. Step 5: Solve for x
    x = 270,609.57/583.33
  6. Step 6: Final answer
    x = 463.90

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Why These Related Problems?

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