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Finding the Fourth Proportional to 403.77, 557.36 and 298.81

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Solution

The fourth proportional to 403.77, 557.36 and 298.81 is: 412.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.77 : 557.36 = 298.81 : x
  2. Step 2: Convert to fraction form
    403.77/557.36 = 298.81/x
  3. Step 3: Cross multiply
    403.77x = 557.36 × 298.81
  4. Step 4: Simplify right side
    403.77x = 166,544.74
  5. Step 5: Solve for x
    x = 166,544.74/403.77
  6. Step 6: Final answer
    x = 412.47

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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.