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Finding the Fourth Proportional to 465.50, 642.40 and 258.50

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Solution

The fourth proportional to 465.50, 642.40 and 258.50 is: 356.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.50 : 642.40 = 258.50 : x
  2. Step 2: Convert to fraction form
    465.50/642.40 = 258.50/x
  3. Step 3: Cross multiply
    465.50x = 642.40 × 258.50
  4. Step 4: Simplify right side
    465.50x = 166,060.40
  5. Step 5: Solve for x
    x = 166,060.40/465.50
  6. Step 6: Final answer
    x = 356.74

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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.