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Finding the Fourth Proportional to 558.36, 771.32 and 403.92

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Solution

The fourth proportional to 558.36, 771.32 and 403.92 is: 557.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.36 : 771.32 = 403.92 : x
  2. Step 2: Convert to fraction form
    558.36/771.32 = 403.92/x
  3. Step 3: Cross multiply
    558.36x = 771.32 × 403.92
  4. Step 4: Simplify right side
    558.36x = 311,551.57
  5. Step 5: Solve for x
    x = 311,551.57/558.36
  6. Step 6: Final answer
    x = 557.98

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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.