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Finding the Fourth Proportional to 455.40, 628.62 and 345.12

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Solution

The fourth proportional to 455.40, 628.62 and 345.12 is: 476.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.40 : 628.62 = 345.12 : x
  2. Step 2: Convert to fraction form
    455.40/628.62 = 345.12/x
  3. Step 3: Cross multiply
    455.40x = 628.62 × 345.12
  4. Step 4: Simplify right side
    455.40x = 216,949.33
  5. Step 5: Solve for x
    x = 216,949.33/455.40
  6. Step 6: Final answer
    x = 476.39

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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.