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Finding the Fourth Proportional to 455.88, 629.22 and 259.50

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Solution

The fourth proportional to 455.88, 629.22 and 259.50 is: 358.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.88 : 629.22 = 259.50 : x
  2. Step 2: Convert to fraction form
    455.88/629.22 = 259.50/x
  3. Step 3: Cross multiply
    455.88x = 629.22 × 259.50
  4. Step 4: Simplify right side
    455.88x = 163,283.24
  5. Step 5: Solve for x
    x = 163,283.24/455.88
  6. Step 6: Final answer
    x = 358.18

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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.