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Finding the Fourth Proportional to 417.29, 573.89 and 333.45

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Solution

The fourth proportional to 417.29, 573.89 and 333.45 is: 458.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.29 : 573.89 = 333.45 : x
  2. Step 2: Convert to fraction form
    417.29/573.89 = 333.45/x
  3. Step 3: Cross multiply
    417.29x = 573.89 × 333.45
  4. Step 4: Simplify right side
    417.29x = 191,361.95
  5. Step 5: Solve for x
    x = 191,361.95/417.29
  6. Step 6: Final answer
    x = 458.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.