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Finding the Fourth Proportional to 333, 499.32 and 297

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Solution

The fourth proportional to 333, 499.32 and 297 is: 445.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    333 : 499.32 = 297 : x
  2. Step 2: Convert to fraction form
    333/499.32 = 297/x
  3. Step 3: Cross multiply
    333x = 499.32 × 297
  4. Step 4: Simplify right side
    333x = 148,298.04
  5. Step 5: Solve for x
    x = 148,298.04/333
  6. Step 6: Final answer
    x = 445.34

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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.