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Finding the Fourth Proportional to 580.71, 801.44 and 332.05

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Solution

The fourth proportional to 580.71, 801.44 and 332.05 is: 458.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.71 : 801.44 = 332.05 : x
  2. Step 2: Convert to fraction form
    580.71/801.44 = 332.05/x
  3. Step 3: Cross multiply
    580.71x = 801.44 × 332.05
  4. Step 4: Simplify right side
    580.71x = 266,114.49
  5. Step 5: Solve for x
    x = 266,114.49/580.71
  6. Step 6: Final answer
    x = 458.26

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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.