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Finding the Fourth Proportional to 456.59, 634.31 and 452.32

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Solution

The fourth proportional to 456.59, 634.31 and 452.32 is: 628.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.59 : 634.31 = 452.32 : x
  2. Step 2: Convert to fraction form
    456.59/634.31 = 452.32/x
  3. Step 3: Cross multiply
    456.59x = 634.31 × 452.32
  4. Step 4: Simplify right side
    456.59x = 286,911.49
  5. Step 5: Solve for x
    x = 286,911.49/456.59
  6. Step 6: Final answer
    x = 628.38

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.