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Finding the Fourth Proportional to 464.84, 693.73 and 453.92

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Solution

The fourth proportional to 464.84, 693.73 and 453.92 is: 677.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.84 : 693.73 = 453.92 : x
  2. Step 2: Convert to fraction form
    464.84/693.73 = 453.92/x
  3. Step 3: Cross multiply
    464.84x = 693.73 × 453.92
  4. Step 4: Simplify right side
    464.84x = 314,897.92
  5. Step 5: Solve for x
    x = 314,897.92/464.84
  6. Step 6: Final answer
    x = 677.43

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.