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Finding the Fourth Proportional to 466.03, 642.41 and 291.07

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Solution

The fourth proportional to 466.03, 642.41 and 291.07 is: 401.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.03 : 642.41 = 291.07 : x
  2. Step 2: Convert to fraction form
    466.03/642.41 = 291.07/x
  3. Step 3: Cross multiply
    466.03x = 642.41 × 291.07
  4. Step 4: Simplify right side
    466.03x = 186,983.07
  5. Step 5: Solve for x
    x = 186,983.07/466.03
  6. Step 6: Final answer
    x = 401.23

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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.