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Finding the Fourth Proportional to 580.68, 801.03 and 359.52

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Solution

The fourth proportional to 580.68, 801.03 and 359.52 is: 495.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.68 : 801.03 = 359.52 : x
  2. Step 2: Convert to fraction form
    580.68/801.03 = 359.52/x
  3. Step 3: Cross multiply
    580.68x = 801.03 × 359.52
  4. Step 4: Simplify right side
    580.68x = 287,986.31
  5. Step 5: Solve for x
    x = 287,986.31/580.68
  6. Step 6: Final answer
    x = 495.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.