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Finding the Fourth Proportional to 561.36, 841.94 and 171.27

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Solution

The fourth proportional to 561.36, 841.94 and 171.27 is: 256.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.36 : 841.94 = 171.27 : x
  2. Step 2: Convert to fraction form
    561.36/841.94 = 171.27/x
  3. Step 3: Cross multiply
    561.36x = 841.94 × 171.27
  4. Step 4: Simplify right side
    561.36x = 144,196.53
  5. Step 5: Solve for x
    x = 144,196.53/561.36
  6. Step 6: Final answer
    x = 256.87

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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.