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Finding the Fourth Proportional to 583.09, 874.53 and 236.14

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Solution

The fourth proportional to 583.09, 874.53 and 236.14 is: 354.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.09 : 874.53 = 236.14 : x
  2. Step 2: Convert to fraction form
    583.09/874.53 = 236.14/x
  3. Step 3: Cross multiply
    583.09x = 874.53 × 236.14
  4. Step 4: Simplify right side
    583.09x = 206,509.33
  5. Step 5: Solve for x
    x = 206,509.33/583.09
  6. Step 6: Final answer
    x = 354.17

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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.