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Finding the Fourth Proportional to 581.72, 872.42 and 303.78

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Solution

The fourth proportional to 581.72, 872.42 and 303.78 is: 455.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.72 : 872.42 = 303.78 : x
  2. Step 2: Convert to fraction form
    581.72/872.42 = 303.78/x
  3. Step 3: Cross multiply
    581.72x = 872.42 × 303.78
  4. Step 4: Simplify right side
    581.72x = 265,023.75
  5. Step 5: Solve for x
    x = 265,023.75/581.72
  6. Step 6: Final answer
    x = 455.59

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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.