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Finding the Fourth Proportional to 409.54, 614.86 and 375.58

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Solution

The fourth proportional to 409.54, 614.86 and 375.58 is: 563.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.54 : 614.86 = 375.58 : x
  2. Step 2: Convert to fraction form
    409.54/614.86 = 375.58/x
  3. Step 3: Cross multiply
    409.54x = 614.86 × 375.58
  4. Step 4: Simplify right side
    409.54x = 230,929.12
  5. Step 5: Solve for x
    x = 230,929.12/409.54
  6. Step 6: Final answer
    x = 563.87

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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.