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Finding the Fourth Proportional to 333.38, 501.94 and 295.08

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Solution

The fourth proportional to 333.38, 501.94 and 295.08 is: 444.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.38 : 501.94 = 295.08 : x
  2. Step 2: Convert to fraction form
    333.38/501.94 = 295.08/x
  3. Step 3: Cross multiply
    333.38x = 501.94 × 295.08
  4. Step 4: Simplify right side
    333.38x = 148,112.46
  5. Step 5: Solve for x
    x = 148,112.46/333.38
  6. Step 6: Final answer
    x = 444.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.