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Finding the Fourth Proportional to 464.44, 694.68 and 341.11

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Solution

The fourth proportional to 464.44, 694.68 and 341.11 is: 510.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.44 : 694.68 = 341.11 : x
  2. Step 2: Convert to fraction form
    464.44/694.68 = 341.11/x
  3. Step 3: Cross multiply
    464.44x = 694.68 × 341.11
  4. Step 4: Simplify right side
    464.44x = 236,962.29
  5. Step 5: Solve for x
    x = 236,962.29/464.44
  6. Step 6: Final answer
    x = 510.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.