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Finding the Fourth Proportional to 561.90, 843.06 and 253.53

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Solution

The fourth proportional to 561.90, 843.06 and 253.53 is: 380.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.90 : 843.06 = 253.53 : x
  2. Step 2: Convert to fraction form
    561.90/843.06 = 253.53/x
  3. Step 3: Cross multiply
    561.90x = 843.06 × 253.53
  4. Step 4: Simplify right side
    561.90x = 213,741.00
  5. Step 5: Solve for x
    x = 213,741.00/561.90
  6. Step 6: Final answer
    x = 380.39

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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.