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Finding the Fourth Proportional to 558.99, 771.93 and 418.86

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Solution

The fourth proportional to 558.99, 771.93 and 418.86 is: 578.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.99 : 771.93 = 418.86 : x
  2. Step 2: Convert to fraction form
    558.99/771.93 = 418.86/x
  3. Step 3: Cross multiply
    558.99x = 771.93 × 418.86
  4. Step 4: Simplify right side
    558.99x = 323,330.60
  5. Step 5: Solve for x
    x = 323,330.60/558.99
  6. Step 6: Final answer
    x = 578.42

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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.