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Finding the Fourth Proportional to 582.90, 874.38 and 236.23

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Solution

The fourth proportional to 582.90, 874.38 and 236.23 is: 354.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.90 : 874.38 = 236.23 : x
  2. Step 2: Convert to fraction form
    582.90/874.38 = 236.23/x
  3. Step 3: Cross multiply
    582.90x = 874.38 × 236.23
  4. Step 4: Simplify right side
    582.90x = 206,553.49
  5. Step 5: Solve for x
    x = 206,553.49/582.90
  6. Step 6: Final answer
    x = 354.35

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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.