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Finding the Fourth Proportional to 601.64, 828.90 and 451.60

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Solution

The fourth proportional to 601.64, 828.90 and 451.60 is: 622.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.64 : 828.90 = 451.60 : x
  2. Step 2: Convert to fraction form
    601.64/828.90 = 451.60/x
  3. Step 3: Cross multiply
    601.64x = 828.90 × 451.60
  4. Step 4: Simplify right side
    601.64x = 374,331.24
  5. Step 5: Solve for x
    x = 374,331.24/601.64
  6. Step 6: Final answer
    x = 622.18

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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.