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Finding the Fourth Proportional to 558.09, 770.90 and 427.77

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Solution

The fourth proportional to 558.09, 770.90 and 427.77 is: 590.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.09 : 770.90 = 427.77 : x
  2. Step 2: Convert to fraction form
    558.09/770.90 = 427.77/x
  3. Step 3: Cross multiply
    558.09x = 770.90 × 427.77
  4. Step 4: Simplify right side
    558.09x = 329,767.89
  5. Step 5: Solve for x
    x = 329,767.89/558.09
  6. Step 6: Final answer
    x = 590.89

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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.