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Finding the Fourth Proportional to 469.43, 648.15 and 359.63

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Solution

The fourth proportional to 469.43, 648.15 and 359.63 is: 496.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.43 : 648.15 = 359.63 : x
  2. Step 2: Convert to fraction form
    469.43/648.15 = 359.63/x
  3. Step 3: Cross multiply
    469.43x = 648.15 × 359.63
  4. Step 4: Simplify right side
    469.43x = 233,090.94
  5. Step 5: Solve for x
    x = 233,090.94/469.43
  6. Step 6: Final answer
    x = 496.55

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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.