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Finding the Fourth Proportional to 580.42, 801.27 and 359.50

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Solution

The fourth proportional to 580.42, 801.27 and 359.50 is: 496.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.42 : 801.27 = 359.50 : x
  2. Step 2: Convert to fraction form
    580.42/801.27 = 359.50/x
  3. Step 3: Cross multiply
    580.42x = 801.27 × 359.50
  4. Step 4: Simplify right side
    580.42x = 288,056.57
  5. Step 5: Solve for x
    x = 288,056.57/580.42
  6. Step 6: Final answer
    x = 496.29

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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.