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Finding the Fourth Proportional to 561.12, 773.80 and 428.68

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Solution

The fourth proportional to 561.12, 773.80 and 428.68 is: 591.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.12 : 773.80 = 428.68 : x
  2. Step 2: Convert to fraction form
    561.12/773.80 = 428.68/x
  3. Step 3: Cross multiply
    561.12x = 773.80 × 428.68
  4. Step 4: Simplify right side
    561.12x = 331,712.58
  5. Step 5: Solve for x
    x = 331,712.58/561.12
  6. Step 6: Final answer
    x = 591.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.