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Finding the Fourth Proportional to 455.90, 629.06 and 345.20

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Solution

The fourth proportional to 455.90, 629.06 and 345.20 is: 476.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.90 : 629.06 = 345.20 : x
  2. Step 2: Convert to fraction form
    455.90/629.06 = 345.20/x
  3. Step 3: Cross multiply
    455.90x = 629.06 × 345.20
  4. Step 4: Simplify right side
    455.90x = 217,146.64
  5. Step 5: Solve for x
    x = 217,146.64/455.90
  6. Step 6: Final answer
    x = 476.31

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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.