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Finding the Fourth Proportional to 417.04, 576.16 and 355.56

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Solution

The fourth proportional to 417.04, 576.16 and 355.56 is: 491.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.04 : 576.16 = 355.56 : x
  2. Step 2: Convert to fraction form
    417.04/576.16 = 355.56/x
  3. Step 3: Cross multiply
    417.04x = 576.16 × 355.56
  4. Step 4: Simplify right side
    417.04x = 204,859.45
  5. Step 5: Solve for x
    x = 204,859.45/417.04
  6. Step 6: Final answer
    x = 491.22

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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.