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Finding the Fourth Proportional to 456.54, 629.82 and 345.84

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Solution

The fourth proportional to 456.54, 629.82 and 345.84 is: 477.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.54 : 629.82 = 345.84 : x
  2. Step 2: Convert to fraction form
    456.54/629.82 = 345.84/x
  3. Step 3: Cross multiply
    456.54x = 629.82 × 345.84
  4. Step 4: Simplify right side
    456.54x = 217,816.95
  5. Step 5: Solve for x
    x = 217,816.95/456.54
  6. Step 6: Final answer
    x = 477.10

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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.