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Finding the Fourth Proportional to 414.24, 621.56 and 183.46

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Solution

The fourth proportional to 414.24, 621.56 and 183.46 is: 275.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.24 : 621.56 = 183.46 : x
  2. Step 2: Convert to fraction form
    414.24/621.56 = 183.46/x
  3. Step 3: Cross multiply
    414.24x = 621.56 × 183.46
  4. Step 4: Simplify right side
    414.24x = 114,031.40
  5. Step 5: Solve for x
    x = 114,031.40/414.24
  6. Step 6: Final answer
    x = 275.28

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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.