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Finding the Fourth Proportional to 467.69, 644.01 and 457.45

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Solution

The fourth proportional to 467.69, 644.01 and 457.45 is: 629.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.69 : 644.01 = 457.45 : x
  2. Step 2: Convert to fraction form
    467.69/644.01 = 457.45/x
  3. Step 3: Cross multiply
    467.69x = 644.01 × 457.45
  4. Step 4: Simplify right side
    467.69x = 294,598.01
  5. Step 5: Solve for x
    x = 294,598.01/467.69
  6. Step 6: Final answer
    x = 629.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.