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Finding the Fourth Proportional to 579.55, 869.83 and 305.84

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Solution

The fourth proportional to 579.55, 869.83 and 305.84 is: 459.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.55 : 869.83 = 305.84 : x
  2. Step 2: Convert to fraction form
    579.55/869.83 = 305.84/x
  3. Step 3: Cross multiply
    579.55x = 869.83 × 305.84
  4. Step 4: Simplify right side
    579.55x = 266,028.81
  5. Step 5: Solve for x
    x = 266,028.81/579.55
  6. Step 6: Final answer
    x = 459.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.