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Finding the Fourth Proportional to 469.83, 648.36 and 283.48

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Solution

The fourth proportional to 469.83, 648.36 and 283.48 is: 391.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.83 : 648.36 = 283.48 : x
  2. Step 2: Convert to fraction form
    469.83/648.36 = 283.48/x
  3. Step 3: Cross multiply
    469.83x = 648.36 × 283.48
  4. Step 4: Simplify right side
    469.83x = 183,795.47
  5. Step 5: Solve for x
    x = 183,795.47/469.83
  6. Step 6: Final answer
    x = 391.19

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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.