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Finding the Fourth Proportional to 580.54, 801.23 and 370.81

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Solution

The fourth proportional to 580.54, 801.23 and 370.81 is: 511.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.54 : 801.23 = 370.81 : x
  2. Step 2: Convert to fraction form
    580.54/801.23 = 370.81/x
  3. Step 3: Cross multiply
    580.54x = 801.23 × 370.81
  4. Step 4: Simplify right side
    580.54x = 297,104.10
  5. Step 5: Solve for x
    x = 297,104.10/580.54
  6. Step 6: Final answer
    x = 511.77

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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.