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Finding the Fourth Proportional to 464.76, 693.86 and 399.78

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Solution

The fourth proportional to 464.76, 693.86 and 399.78 is: 596.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.76 : 693.86 = 399.78 : x
  2. Step 2: Convert to fraction form
    464.76/693.86 = 399.78/x
  3. Step 3: Cross multiply
    464.76x = 693.86 × 399.78
  4. Step 4: Simplify right side
    464.76x = 277,389.35
  5. Step 5: Solve for x
    x = 277,389.35/464.76
  6. Step 6: Final answer
    x = 596.84

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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.