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Finding the Fourth Proportional to 333.12, 497.07 and 298.50

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Solution

The fourth proportional to 333.12, 497.07 and 298.50 is: 445.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.12 : 497.07 = 298.50 : x
  2. Step 2: Convert to fraction form
    333.12/497.07 = 298.50/x
  3. Step 3: Cross multiply
    333.12x = 497.07 × 298.50
  4. Step 4: Simplify right side
    333.12x = 148,375.40
  5. Step 5: Solve for x
    x = 148,375.40/333.12
  6. Step 6: Final answer
    x = 445.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.