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Finding the Fourth Proportional to 403.66, 557.01 and 298.81

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Solution

The fourth proportional to 403.66, 557.01 and 298.81 is: 412.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.66 : 557.01 = 298.81 : x
  2. Step 2: Convert to fraction form
    403.66/557.01 = 298.81/x
  3. Step 3: Cross multiply
    403.66x = 557.01 × 298.81
  4. Step 4: Simplify right side
    403.66x = 166,440.16
  5. Step 5: Solve for x
    x = 166,440.16/403.66
  6. Step 6: Final answer
    x = 412.33

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Why These Related Problems?

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