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Finding the Fourth Proportional to 941.04, 1,411.11 and 282.66

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Solution

The fourth proportional to 941.04, 1,411.11 and 282.66 is: 423.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.04 : 1,411.11 = 282.66 : x
  2. Step 2: Convert to fraction form
    941.04/1,411.11 = 282.66/x
  3. Step 3: Cross multiply
    941.04x = 1,411.11 × 282.66
  4. Step 4: Simplify right side
    941.04x = 398,864.35
  5. Step 5: Solve for x
    x = 398,864.35/941.04
  6. Step 6: Final answer
    x = 423.85

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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.