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Finding the Fourth Proportional to 559.13, 837.32 and 461.03

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Solution

The fourth proportional to 559.13, 837.32 and 461.03 is: 690.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.13 : 837.32 = 461.03 : x
  2. Step 2: Convert to fraction form
    559.13/837.32 = 461.03/x
  3. Step 3: Cross multiply
    559.13x = 837.32 × 461.03
  4. Step 4: Simplify right side
    559.13x = 386,026.39
  5. Step 5: Solve for x
    x = 386,026.39/559.13
  6. Step 6: Final answer
    x = 690.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.