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Finding the Fourth Proportional to 467.04, 697.35 and 450.24

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Solution

The fourth proportional to 467.04, 697.35 and 450.24 is: 672.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.04 : 697.35 = 450.24 : x
  2. Step 2: Convert to fraction form
    467.04/697.35 = 450.24/x
  3. Step 3: Cross multiply
    467.04x = 697.35 × 450.24
  4. Step 4: Simplify right side
    467.04x = 313,974.86
  5. Step 5: Solve for x
    x = 313,974.86/467.04
  6. Step 6: Final answer
    x = 672.27

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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.