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Finding the Fourth Proportional to 469.80, 648.23 and 283.28

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Solution

The fourth proportional to 469.80, 648.23 and 283.28 is: 390.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.80 : 648.23 = 283.28 : x
  2. Step 2: Convert to fraction form
    469.80/648.23 = 283.28/x
  3. Step 3: Cross multiply
    469.80x = 648.23 × 283.28
  4. Step 4: Simplify right side
    469.80x = 183,625.94
  5. Step 5: Solve for x
    x = 183,625.94/469.80
  6. Step 6: Final answer
    x = 390.86

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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.