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Finding the Fourth Proportional to 382.90, 528.33 and 235.66

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Solution

The fourth proportional to 382.90, 528.33 and 235.66 is: 325.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.90 : 528.33 = 235.66 : x
  2. Step 2: Convert to fraction form
    382.90/528.33 = 235.66/x
  3. Step 3: Cross multiply
    382.90x = 528.33 × 235.66
  4. Step 4: Simplify right side
    382.90x = 124,506.25
  5. Step 5: Solve for x
    x = 124,506.25/382.90
  6. Step 6: Final answer
    x = 325.17

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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.