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Finding the Fourth Proportional to 465.63, 642.57 and 258.63

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Solution

The fourth proportional to 465.63, 642.57 and 258.63 is: 356.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.63 : 642.57 = 258.63 : x
  2. Step 2: Convert to fraction form
    465.63/642.57 = 258.63/x
  3. Step 3: Cross multiply
    465.63x = 642.57 × 258.63
  4. Step 4: Simplify right side
    465.63x = 166,187.88
  5. Step 5: Solve for x
    x = 166,187.88/465.63
  6. Step 6: Final answer
    x = 356.91

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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.