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Finding the Fourth Proportional to 456.61, 629.98 and 363.59

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Solution

The fourth proportional to 456.61, 629.98 and 363.59 is: 501.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.61 : 629.98 = 363.59 : x
  2. Step 2: Convert to fraction form
    456.61/629.98 = 363.59/x
  3. Step 3: Cross multiply
    456.61x = 629.98 × 363.59
  4. Step 4: Simplify right side
    456.61x = 229,052.73
  5. Step 5: Solve for x
    x = 229,052.73/456.61
  6. Step 6: Final answer
    x = 501.64

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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.