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Finding the Fourth Proportional to 561.28, 841.74 and 176.56

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Solution

The fourth proportional to 561.28, 841.74 and 176.56 is: 264.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.28 : 841.74 = 176.56 : x
  2. Step 2: Convert to fraction form
    561.28/841.74 = 176.56/x
  3. Step 3: Cross multiply
    561.28x = 841.74 × 176.56
  4. Step 4: Simplify right side
    561.28x = 148,617.61
  5. Step 5: Solve for x
    x = 148,617.61/561.28
  6. Step 6: Final answer
    x = 264.78

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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.