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Finding the Fourth Proportional to 561.12, 841.37 and 408.03

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Solution

The fourth proportional to 561.12, 841.37 and 408.03 is: 611.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.12 : 841.37 = 408.03 : x
  2. Step 2: Convert to fraction form
    561.12/841.37 = 408.03/x
  3. Step 3: Cross multiply
    561.12x = 841.37 × 408.03
  4. Step 4: Simplify right side
    561.12x = 343,304.20
  5. Step 5: Solve for x
    x = 343,304.20/561.12
  6. Step 6: Final answer
    x = 611.82

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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.