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Finding the Fourth Proportional to 465.30, 642.09 and 258.30

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Solution

The fourth proportional to 465.30, 642.09 and 258.30 is: 356.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.30 : 642.09 = 258.30 : x
  2. Step 2: Convert to fraction form
    465.30/642.09 = 258.30/x
  3. Step 3: Cross multiply
    465.30x = 642.09 × 258.30
  4. Step 4: Simplify right side
    465.30x = 165,851.85
  5. Step 5: Solve for x
    x = 165,851.85/465.30
  6. Step 6: Final answer
    x = 356.44

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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.