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Finding the Fourth Proportional to 373.02, 511.76 and 363.44

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Solution

The fourth proportional to 373.02, 511.76 and 363.44 is: 498.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.02 : 511.76 = 363.44 : x
  2. Step 2: Convert to fraction form
    373.02/511.76 = 363.44/x
  3. Step 3: Cross multiply
    373.02x = 511.76 × 363.44
  4. Step 4: Simplify right side
    373.02x = 185,994.05
  5. Step 5: Solve for x
    x = 185,994.05/373.02
  6. Step 6: Final answer
    x = 498.62

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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.