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Finding the Fourth Proportional to 839.24, 1,158.01 and 466.21

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Solution

The fourth proportional to 839.24, 1,158.01 and 466.21 is: 643.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.24 : 1,158.01 = 466.21 : x
  2. Step 2: Convert to fraction form
    839.24/1,158.01 = 466.21/x
  3. Step 3: Cross multiply
    839.24x = 1,158.01 × 466.21
  4. Step 4: Simplify right side
    839.24x = 539,870.05
  5. Step 5: Solve for x
    x = 539,870.05/839.24
  6. Step 6: Final answer
    x = 643.29

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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.