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Finding the Fourth Proportional to 468, 645.87 and 258.20

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Solution

The fourth proportional to 468, 645.87 and 258.20 is: 356.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    468 : 645.87 = 258.20 : x
  2. Step 2: Convert to fraction form
    468/645.87 = 258.20/x
  3. Step 3: Cross multiply
    468x = 645.87 × 258.20
  4. Step 4: Simplify right side
    468x = 166,760.40
  5. Step 5: Solve for x
    x = 166,760.40/468
  6. Step 6: Final answer
    x = 356.33

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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.