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Finding the Fourth Proportional to 456, 629.39 and 259.63

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Solution

The fourth proportional to 456, 629.39 and 259.63 is: 358.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    456 : 629.39 = 259.63 : x
  2. Step 2: Convert to fraction form
    456/629.39 = 259.63/x
  3. Step 3: Cross multiply
    456x = 629.39 × 259.63
  4. Step 4: Simplify right side
    456x = 163,408.53
  5. Step 5: Solve for x
    x = 163,408.53/456
  6. Step 6: Final answer
    x = 358.35

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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.