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Finding the Fourth Proportional to 403.62, 557.51 and 298.86

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Solution

The fourth proportional to 403.62, 557.51 and 298.86 is: 412.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.62 : 557.51 = 298.86 : x
  2. Step 2: Convert to fraction form
    403.62/557.51 = 298.86/x
  3. Step 3: Cross multiply
    403.62x = 557.51 × 298.86
  4. Step 4: Simplify right side
    403.62x = 166,615.94
  5. Step 5: Solve for x
    x = 166,615.94/403.62
  6. Step 6: Final answer
    x = 412.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.