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Finding the Fourth Proportional to 403.62, 557.20 and 285.69

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Solution

The fourth proportional to 403.62, 557.20 and 285.69 is: 394.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.62 : 557.20 = 285.69 : x
  2. Step 2: Convert to fraction form
    403.62/557.20 = 285.69/x
  3. Step 3: Cross multiply
    403.62x = 557.20 × 285.69
  4. Step 4: Simplify right side
    403.62x = 159,185.79
  5. Step 5: Solve for x
    x = 159,185.79/403.62
  6. Step 6: Final answer
    x = 394.40

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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.