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Finding the Fourth Proportional to 467.07, 644.34 and 270.53

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Solution

The fourth proportional to 467.07, 644.34 and 270.53 is: 373.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.07 : 644.34 = 270.53 : x
  2. Step 2: Convert to fraction form
    467.07/644.34 = 270.53/x
  3. Step 3: Cross multiply
    467.07x = 644.34 × 270.53
  4. Step 4: Simplify right side
    467.07x = 174,313.30
  5. Step 5: Solve for x
    x = 174,313.30/467.07
  6. Step 6: Final answer
    x = 373.21

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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.