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Finding the Fourth Proportional to 467.14, 697.29 and 446.08

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Solution

The fourth proportional to 467.14, 697.29 and 446.08 is: 665.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.14 : 697.29 = 446.08 : x
  2. Step 2: Convert to fraction form
    467.14/697.29 = 446.08/x
  3. Step 3: Cross multiply
    467.14x = 697.29 × 446.08
  4. Step 4: Simplify right side
    467.14x = 311,047.12
  5. Step 5: Solve for x
    x = 311,047.12/467.14
  6. Step 6: Final answer
    x = 665.85

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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.