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Finding the Fourth Proportional to 580.80, 801.66 and 359.64

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Solution

The fourth proportional to 580.80, 801.66 and 359.64 is: 496.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.80 : 801.66 = 359.64 : x
  2. Step 2: Convert to fraction form
    580.80/801.66 = 359.64/x
  3. Step 3: Cross multiply
    580.80x = 801.66 × 359.64
  4. Step 4: Simplify right side
    580.80x = 288,309.00
  5. Step 5: Solve for x
    x = 288,309.00/580.80
  6. Step 6: Final answer
    x = 496.40

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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.