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Finding the Fourth Proportional to 561.32, 841.82 and 272.20

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Solution

The fourth proportional to 561.32, 841.82 and 272.20 is: 408.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.32 : 841.82 = 272.20 : x
  2. Step 2: Convert to fraction form
    561.32/841.82 = 272.20/x
  3. Step 3: Cross multiply
    561.32x = 841.82 × 272.20
  4. Step 4: Simplify right side
    561.32x = 229,143.40
  5. Step 5: Solve for x
    x = 229,143.40/561.32
  6. Step 6: Final answer
    x = 408.22

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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.