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Finding the Fourth Proportional to 580.62, 801.34 and 328.60

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Solution

The fourth proportional to 580.62, 801.34 and 328.60 is: 453.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.62 : 801.34 = 328.60 : x
  2. Step 2: Convert to fraction form
    580.62/801.34 = 328.60/x
  3. Step 3: Cross multiply
    580.62x = 801.34 × 328.60
  4. Step 4: Simplify right side
    580.62x = 263,320.32
  5. Step 5: Solve for x
    x = 263,320.32/580.62
  6. Step 6: Final answer
    x = 453.52

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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.