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Finding the Fourth Proportional to 373.21, 514.86 and 324

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Solution

The fourth proportional to 373.21, 514.86 and 324 is: 446.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.21 : 514.86 = 324 : x
  2. Step 2: Convert to fraction form
    373.21/514.86 = 324/x
  3. Step 3: Cross multiply
    373.21x = 514.86 × 324
  4. Step 4: Simplify right side
    373.21x = 166,813.43
  5. Step 5: Solve for x
    x = 166,813.43/373.21
  6. Step 6: Final answer
    x = 446.97

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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.