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Finding the Fourth Proportional to 418.68, 576.59 and 362.64

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Solution

The fourth proportional to 418.68, 576.59 and 362.64 is: 499.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.68 : 576.59 = 362.64 : x
  2. Step 2: Convert to fraction form
    418.68/576.59 = 362.64/x
  3. Step 3: Cross multiply
    418.68x = 576.59 × 362.64
  4. Step 4: Simplify right side
    418.68x = 209,095.57
  5. Step 5: Solve for x
    x = 209,095.57/418.68
  6. Step 6: Final answer
    x = 499.41

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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.