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Finding the Fourth Proportional to 454.86, 684.84 and 403.80

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Solution

The fourth proportional to 454.86, 684.84 and 403.80 is: 607.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.86 : 684.84 = 403.80 : x
  2. Step 2: Convert to fraction form
    454.86/684.84 = 403.80/x
  3. Step 3: Cross multiply
    454.86x = 684.84 × 403.80
  4. Step 4: Simplify right side
    454.86x = 276,538.39
  5. Step 5: Solve for x
    x = 276,538.39/454.86
  6. Step 6: Final answer
    x = 607.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.