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Finding the Fourth Proportional to 456.49, 629.93 and 269.93

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Solution

The fourth proportional to 456.49, 629.93 and 269.93 is: 372.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.49 : 629.93 = 269.93 : x
  2. Step 2: Convert to fraction form
    456.49/629.93 = 269.93/x
  3. Step 3: Cross multiply
    456.49x = 629.93 × 269.93
  4. Step 4: Simplify right side
    456.49x = 170,037.74
  5. Step 5: Solve for x
    x = 170,037.74/456.49
  6. Step 6: Final answer
    x = 372.49

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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.