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Finding the Fourth Proportional to 456.14, 629.48 and 259.64

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Solution

The fourth proportional to 456.14, 629.48 and 259.64 is: 358.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.14 : 629.48 = 259.64 : x
  2. Step 2: Convert to fraction form
    456.14/629.48 = 259.64/x
  3. Step 3: Cross multiply
    456.14x = 629.48 × 259.64
  4. Step 4: Simplify right side
    456.14x = 163,433.74
  5. Step 5: Solve for x
    x = 163,433.74/456.14
  6. Step 6: Final answer
    x = 358.30

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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.