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Finding the Fourth Proportional to 464.66, 693.07 and 395.41

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Solution

The fourth proportional to 464.66, 693.07 and 395.41 is: 589.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.66 : 693.07 = 395.41 : x
  2. Step 2: Convert to fraction form
    464.66/693.07 = 395.41/x
  3. Step 3: Cross multiply
    464.66x = 693.07 × 395.41
  4. Step 4: Simplify right side
    464.66x = 274,046.81
  5. Step 5: Solve for x
    x = 274,046.81/464.66
  6. Step 6: Final answer
    x = 589.78

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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.