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Finding the Fourth Proportional to 465.02, 641.73 and 258.02

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Solution

The fourth proportional to 465.02, 641.73 and 258.02 is: 356.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.02 : 641.73 = 258.02 : x
  2. Step 2: Convert to fraction form
    465.02/641.73 = 258.02/x
  3. Step 3: Cross multiply
    465.02x = 641.73 × 258.02
  4. Step 4: Simplify right side
    465.02x = 165,579.17
  5. Step 5: Solve for x
    x = 165,579.17/465.02
  6. Step 6: Final answer
    x = 356.07

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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.