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Finding the Fourth Proportional to 454.32, 684.27 and 403.56

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Solution

The fourth proportional to 454.32, 684.27 and 403.56 is: 607.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.32 : 684.27 = 403.56 : x
  2. Step 2: Convert to fraction form
    454.32/684.27 = 403.56/x
  3. Step 3: Cross multiply
    454.32x = 684.27 × 403.56
  4. Step 4: Simplify right side
    454.32x = 276,144.00
  5. Step 5: Solve for x
    x = 276,144.00/454.32
  6. Step 6: Final answer
    x = 607.82

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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.