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Finding the Fourth Proportional to 451.74, 623.52 and 334.02

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Solution

The fourth proportional to 451.74, 623.52 and 334.02 is: 461.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.74 : 623.52 = 334.02 : x
  2. Step 2: Convert to fraction form
    451.74/623.52 = 334.02/x
  3. Step 3: Cross multiply
    451.74x = 623.52 × 334.02
  4. Step 4: Simplify right side
    451.74x = 208,268.15
  5. Step 5: Solve for x
    x = 208,268.15/451.74
  6. Step 6: Final answer
    x = 461.04

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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.