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Finding the Fourth Proportional to 469.84, 648.42 and 283.36

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Solution

The fourth proportional to 469.84, 648.42 and 283.36 is: 391.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.84 : 648.42 = 283.36 : x
  2. Step 2: Convert to fraction form
    469.84/648.42 = 283.36/x
  3. Step 3: Cross multiply
    469.84x = 648.42 × 283.36
  4. Step 4: Simplify right side
    469.84x = 183,736.29
  5. Step 5: Solve for x
    x = 183,736.29/469.84
  6. Step 6: Final answer
    x = 391.06

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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.