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Finding the Fourth Proportional to 535.68, 804.13 and 454.41

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Solution

The fourth proportional to 535.68, 804.13 and 454.41 is: 682.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.68 : 804.13 = 454.41 : x
  2. Step 2: Convert to fraction form
    535.68/804.13 = 454.41/x
  3. Step 3: Cross multiply
    535.68x = 804.13 × 454.41
  4. Step 4: Simplify right side
    535.68x = 365,403.58
  5. Step 5: Solve for x
    x = 365,403.58/535.68
  6. Step 6: Final answer
    x = 682.13

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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.