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Finding the Fourth Proportional to 474.50, 653.60 and 334.38

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Solution

The fourth proportional to 474.50, 653.60 and 334.38 is: 460.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.50 : 653.60 = 334.38 : x
  2. Step 2: Convert to fraction form
    474.50/653.60 = 334.38/x
  3. Step 3: Cross multiply
    474.50x = 653.60 × 334.38
  4. Step 4: Simplify right side
    474.50x = 218,554.05
  5. Step 5: Solve for x
    x = 218,554.05/474.50
  6. Step 6: Final answer
    x = 460.60

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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.