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Finding the Fourth Proportional to 403.84, 556.62 and 285.86

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Solution

The fourth proportional to 403.84, 556.62 and 285.86 is: 394.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.84 : 556.62 = 285.86 : x
  2. Step 2: Convert to fraction form
    403.84/556.62 = 285.86/x
  3. Step 3: Cross multiply
    403.84x = 556.62 × 285.86
  4. Step 4: Simplify right side
    403.84x = 159,115.39
  5. Step 5: Solve for x
    x = 159,115.39/403.84
  6. Step 6: Final answer
    x = 394.01

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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.