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Finding the Fourth Proportional to 486.88, 728.16 and 363.76

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Solution

The fourth proportional to 486.88, 728.16 and 363.76 is: 544.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.88 : 728.16 = 363.76 : x
  2. Step 2: Convert to fraction form
    486.88/728.16 = 363.76/x
  3. Step 3: Cross multiply
    486.88x = 728.16 × 363.76
  4. Step 4: Simplify right side
    486.88x = 264,875.48
  5. Step 5: Solve for x
    x = 264,875.48/486.88
  6. Step 6: Final answer
    x = 544.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.