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Finding the Fourth Proportional to 557.95, 769.86 and 321.84

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Solution

The fourth proportional to 557.95, 769.86 and 321.84 is: 444.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.95 : 769.86 = 321.84 : x
  2. Step 2: Convert to fraction form
    557.95/769.86 = 321.84/x
  3. Step 3: Cross multiply
    557.95x = 769.86 × 321.84
  4. Step 4: Simplify right side
    557.95x = 247,771.02
  5. Step 5: Solve for x
    x = 247,771.02/557.95
  6. Step 6: Final answer
    x = 444.08

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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.