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Finding the Fourth Proportional to 464.38, 697.20 and 245.20

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Solution

The fourth proportional to 464.38, 697.20 and 245.20 is: 368.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.38 : 697.20 = 245.20 : x
  2. Step 2: Convert to fraction form
    464.38/697.20 = 245.20/x
  3. Step 3: Cross multiply
    464.38x = 697.20 × 245.20
  4. Step 4: Simplify right side
    464.38x = 170,953.44
  5. Step 5: Solve for x
    x = 170,953.44/464.38
  6. Step 6: Final answer
    x = 368.13

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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.