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Finding the Fourth Proportional to 580.79, 801.41 and 332.07

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Solution

The fourth proportional to 580.79, 801.41 and 332.07 is: 458.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.79 : 801.41 = 332.07 : x
  2. Step 2: Convert to fraction form
    580.79/801.41 = 332.07/x
  3. Step 3: Cross multiply
    580.79x = 801.41 × 332.07
  4. Step 4: Simplify right side
    580.79x = 266,122.56
  5. Step 5: Solve for x
    x = 266,122.56/580.79
  6. Step 6: Final answer
    x = 458.21

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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.