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Finding the Fourth Proportional to 469.84, 648.28 and 283.44

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Solution

The fourth proportional to 469.84, 648.28 and 283.44 is: 391.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.84 : 648.28 = 283.44 : x
  2. Step 2: Convert to fraction form
    469.84/648.28 = 283.44/x
  3. Step 3: Cross multiply
    469.84x = 648.28 × 283.44
  4. Step 4: Simplify right side
    469.84x = 183,748.48
  5. Step 5: Solve for x
    x = 183,748.48/469.84
  6. Step 6: Final answer
    x = 391.09

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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.