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Finding the Fourth Proportional to 460.36, 693.92 and 453.88

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Solution

The fourth proportional to 460.36, 693.92 and 453.88 is: 684.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.36 : 693.92 = 453.88 : x
  2. Step 2: Convert to fraction form
    460.36/693.92 = 453.88/x
  3. Step 3: Cross multiply
    460.36x = 693.92 × 453.88
  4. Step 4: Simplify right side
    460.36x = 314,956.41
  5. Step 5: Solve for x
    x = 314,956.41/460.36
  6. Step 6: Final answer
    x = 684.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.