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Finding the Fourth Proportional to 373.98, 512.34 and 360.14

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Solution

The fourth proportional to 373.98, 512.34 and 360.14 is: 493.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.98 : 512.34 = 360.14 : x
  2. Step 2: Convert to fraction form
    373.98/512.34 = 360.14/x
  3. Step 3: Cross multiply
    373.98x = 512.34 × 360.14
  4. Step 4: Simplify right side
    373.98x = 184,511.57
  5. Step 5: Solve for x
    x = 184,511.57/373.98
  6. Step 6: Final answer
    x = 493.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.