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Finding the Fourth Proportional to 373.26, 514.38 and 314.30

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Solution

The fourth proportional to 373.26, 514.38 and 314.30 is: 433.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.26 : 514.38 = 314.30 : x
  2. Step 2: Convert to fraction form
    373.26/514.38 = 314.30/x
  3. Step 3: Cross multiply
    373.26x = 514.38 × 314.30
  4. Step 4: Simplify right side
    373.26x = 161,669.63
  5. Step 5: Solve for x
    x = 161,669.63/373.26
  6. Step 6: Final answer
    x = 433.13

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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.