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Finding the Fourth Proportional to 611.70, 844.11 and 456.18

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Solution

The fourth proportional to 611.70, 844.11 and 456.18 is: 629.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.70 : 844.11 = 456.18 : x
  2. Step 2: Convert to fraction form
    611.70/844.11 = 456.18/x
  3. Step 3: Cross multiply
    611.70x = 844.11 × 456.18
  4. Step 4: Simplify right side
    611.70x = 385,066.10
  5. Step 5: Solve for x
    x = 385,066.10/611.70
  6. Step 6: Final answer
    x = 629.50

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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.