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Finding the Fourth Proportional to 456.69, 634.58 and 450.89

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Solution

The fourth proportional to 456.69, 634.58 and 450.89 is: 626.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.69 : 634.58 = 450.89 : x
  2. Step 2: Convert to fraction form
    456.69/634.58 = 450.89/x
  3. Step 3: Cross multiply
    456.69x = 634.58 × 450.89
  4. Step 4: Simplify right side
    456.69x = 286,125.78
  5. Step 5: Solve for x
    x = 286,125.78/456.69
  6. Step 6: Final answer
    x = 626.52

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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.