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Finding the Fourth Proportional to 374.04, 514.62 and 327.24

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Solution

The fourth proportional to 374.04, 514.62 and 327.24 is: 450.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.04 : 514.62 = 327.24 : x
  2. Step 2: Convert to fraction form
    374.04/514.62 = 327.24/x
  3. Step 3: Cross multiply
    374.04x = 514.62 × 327.24
  4. Step 4: Simplify right side
    374.04x = 168,404.25
  5. Step 5: Solve for x
    x = 168,404.25/374.04
  6. Step 6: Final answer
    x = 450.23

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Why These Related Problems?

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