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Finding the Fourth Proportional to 455.63, 628.80 and 259.17

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Solution

The fourth proportional to 455.63, 628.80 and 259.17 is: 357.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.63 : 628.80 = 259.17 : x
  2. Step 2: Convert to fraction form
    455.63/628.80 = 259.17/x
  3. Step 3: Cross multiply
    455.63x = 628.80 × 259.17
  4. Step 4: Simplify right side
    455.63x = 162,969.16
  5. Step 5: Solve for x
    x = 162,969.16/455.63
  6. Step 6: Final answer
    x = 357.68

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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.