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Finding the Fourth Proportional to 373.14, 514.80 and 233.13

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Solution

The fourth proportional to 373.14, 514.80 and 233.13 is: 321.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.14 : 514.80 = 233.13 : x
  2. Step 2: Convert to fraction form
    373.14/514.80 = 233.13/x
  3. Step 3: Cross multiply
    373.14x = 514.80 × 233.13
  4. Step 4: Simplify right side
    373.14x = 120,015.32
  5. Step 5: Solve for x
    x = 120,015.32/373.14
  6. Step 6: Final answer
    x = 321.64

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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.