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Finding the Fourth Proportional to 580.01, 869.32 and 305.96

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Solution

The fourth proportional to 580.01, 869.32 and 305.96 is: 458.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.01 : 869.32 = 305.96 : x
  2. Step 2: Convert to fraction form
    580.01/869.32 = 305.96/x
  3. Step 3: Cross multiply
    580.01x = 869.32 × 305.96
  4. Step 4: Simplify right side
    580.01x = 265,977.15
  5. Step 5: Solve for x
    x = 265,977.15/580.01
  6. Step 6: Final answer
    x = 458.57

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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.