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Finding the Fourth Proportional to 839.30, 1,158.28 and 466.30

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Solution

The fourth proportional to 839.30, 1,158.28 and 466.30 is: 643.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.30 : 1,158.28 = 466.30 : x
  2. Step 2: Convert to fraction form
    839.30/1,158.28 = 466.30/x
  3. Step 3: Cross multiply
    839.30x = 1,158.28 × 466.30
  4. Step 4: Simplify right side
    839.30x = 540,105.96
  5. Step 5: Solve for x
    x = 540,105.96/839.30
  6. Step 6: Final answer
    x = 643.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.