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Finding the Fourth Proportional to 456.93, 629.94 and 332.59

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Solution

The fourth proportional to 456.93, 629.94 and 332.59 is: 458.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.93 : 629.94 = 332.59 : x
  2. Step 2: Convert to fraction form
    456.93/629.94 = 332.59/x
  3. Step 3: Cross multiply
    456.93x = 629.94 × 332.59
  4. Step 4: Simplify right side
    456.93x = 209,511.74
  5. Step 5: Solve for x
    x = 209,511.74/456.93
  6. Step 6: Final answer
    x = 458.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.