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Finding the Fourth Proportional to 474.17, 653.99 and 333.86

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Solution

The fourth proportional to 474.17, 653.99 and 333.86 is: 460.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.17 : 653.99 = 333.86 : x
  2. Step 2: Convert to fraction form
    474.17/653.99 = 333.86/x
  3. Step 3: Cross multiply
    474.17x = 653.99 × 333.86
  4. Step 4: Simplify right side
    474.17x = 218,336.16
  5. Step 5: Solve for x
    x = 218,336.16/474.17
  6. Step 6: Final answer
    x = 460.46

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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.