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Finding the Fourth Proportional to 465.49, 642.42 and 297.41

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Solution

The fourth proportional to 465.49, 642.42 and 297.41 is: 410.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.49 : 642.42 = 297.41 : x
  2. Step 2: Convert to fraction form
    465.49/642.42 = 297.41/x
  3. Step 3: Cross multiply
    465.49x = 642.42 × 297.41
  4. Step 4: Simplify right side
    465.49x = 191,062.13
  5. Step 5: Solve for x
    x = 191,062.13/465.49
  6. Step 6: Final answer
    x = 410.45

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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.