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Finding the Fourth Proportional to 456.14, 629.47 and 259.66

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Solution

The fourth proportional to 456.14, 629.47 and 259.66 is: 358.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.14 : 629.47 = 259.66 : x
  2. Step 2: Convert to fraction form
    456.14/629.47 = 259.66/x
  3. Step 3: Cross multiply
    456.14x = 629.47 × 259.66
  4. Step 4: Simplify right side
    456.14x = 163,446.10
  5. Step 5: Solve for x
    x = 163,446.10/456.14
  6. Step 6: Final answer
    x = 358.33

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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.