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Finding the Fourth Proportional to 373.26, 514.42 and 289.13

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Solution

The fourth proportional to 373.26, 514.42 and 289.13 is: 398.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.26 : 514.42 = 289.13 : x
  2. Step 2: Convert to fraction form
    373.26/514.42 = 289.13/x
  3. Step 3: Cross multiply
    373.26x = 514.42 × 289.13
  4. Step 4: Simplify right side
    373.26x = 148,730.96
  5. Step 5: Solve for x
    x = 148,730.96/373.26
  6. Step 6: Final answer
    x = 398.46

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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.