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Finding the Fourth Proportional to 580.66, 801.47 and 359.49

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Solution

The fourth proportional to 580.66, 801.47 and 359.49 is: 496.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.66 : 801.47 = 359.49 : x
  2. Step 2: Convert to fraction form
    580.66/801.47 = 359.49/x
  3. Step 3: Cross multiply
    580.66x = 801.47 × 359.49
  4. Step 4: Simplify right side
    580.66x = 288,118.50
  5. Step 5: Solve for x
    x = 288,118.50/580.66
  6. Step 6: Final answer
    x = 496.19

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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.