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Finding the Fourth Proportional to 561.94, 844.71 and 533.14

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Solution

The fourth proportional to 561.94, 844.71 and 533.14 is: 801.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.94 : 844.71 = 533.14 : x
  2. Step 2: Convert to fraction form
    561.94/844.71 = 533.14/x
  3. Step 3: Cross multiply
    561.94x = 844.71 × 533.14
  4. Step 4: Simplify right side
    561.94x = 450,348.69
  5. Step 5: Solve for x
    x = 450,348.69/561.94
  6. Step 6: Final answer
    x = 801.42

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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.