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Finding the Fourth Proportional to 636.48, 955.20 and 509.76

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Solution

The fourth proportional to 636.48, 955.20 and 509.76 is: 765.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.48 : 955.20 = 509.76 : x
  2. Step 2: Convert to fraction form
    636.48/955.20 = 509.76/x
  3. Step 3: Cross multiply
    636.48x = 955.20 × 509.76
  4. Step 4: Simplify right side
    636.48x = 486,922.75
  5. Step 5: Solve for x
    x = 486,922.75/636.48
  6. Step 6: Final answer
    x = 765.02

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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.