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Finding the Fourth Proportional to 456.54, 629.82 and 351.66

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Solution

The fourth proportional to 456.54, 629.82 and 351.66 is: 485.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.54 : 629.82 = 351.66 : x
  2. Step 2: Convert to fraction form
    456.54/629.82 = 351.66/x
  3. Step 3: Cross multiply
    456.54x = 629.82 × 351.66
  4. Step 4: Simplify right side
    456.54x = 221,482.50
  5. Step 5: Solve for x
    x = 221,482.50/456.54
  6. Step 6: Final answer
    x = 485.13

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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.