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Finding the Fourth Proportional to 333.96, 498.38 and 297.51

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Solution

The fourth proportional to 333.96, 498.38 and 297.51 is: 443.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.96 : 498.38 = 297.51 : x
  2. Step 2: Convert to fraction form
    333.96/498.38 = 297.51/x
  3. Step 3: Cross multiply
    333.96x = 498.38 × 297.51
  4. Step 4: Simplify right side
    333.96x = 148,273.03
  5. Step 5: Solve for x
    x = 148,273.03/333.96
  6. Step 6: Final answer
    x = 443.98

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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.