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Finding the Fourth Proportional to 471.63, 649.02 and 360.66

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Solution

The fourth proportional to 471.63, 649.02 and 360.66 is: 496.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.63 : 649.02 = 360.66 : x
  2. Step 2: Convert to fraction form
    471.63/649.02 = 360.66/x
  3. Step 3: Cross multiply
    471.63x = 649.02 × 360.66
  4. Step 4: Simplify right side
    471.63x = 234,075.55
  5. Step 5: Solve for x
    x = 234,075.55/471.63
  6. Step 6: Final answer
    x = 496.31

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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.