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Finding the Fourth Proportional to 333.41, 497.54 and 297.05

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Solution

The fourth proportional to 333.41, 497.54 and 297.05 is: 443.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.41 : 497.54 = 297.05 : x
  2. Step 2: Convert to fraction form
    333.41/497.54 = 297.05/x
  3. Step 3: Cross multiply
    333.41x = 497.54 × 297.05
  4. Step 4: Simplify right side
    333.41x = 147,795.00
  5. Step 5: Solve for x
    x = 147,795.00/333.41
  6. Step 6: Final answer
    x = 443.28

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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.