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Finding the Fourth Proportional to 580.57, 801.10 and 328.52

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Solution

The fourth proportional to 580.57, 801.10 and 328.52 is: 453.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.57 : 801.10 = 328.52 : x
  2. Step 2: Convert to fraction form
    580.57/801.10 = 328.52/x
  3. Step 3: Cross multiply
    580.57x = 801.10 × 328.52
  4. Step 4: Simplify right side
    580.57x = 263,177.37
  5. Step 5: Solve for x
    x = 263,177.37/580.57
  6. Step 6: Final answer
    x = 453.31

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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.