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Finding the Fourth Proportional to 617.84, 852.64 and 338.08

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Solution

The fourth proportional to 617.84, 852.64 and 338.08 is: 466.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.84 : 852.64 = 338.08 : x
  2. Step 2: Convert to fraction form
    617.84/852.64 = 338.08/x
  3. Step 3: Cross multiply
    617.84x = 852.64 × 338.08
  4. Step 4: Simplify right side
    617.84x = 288,260.53
  5. Step 5: Solve for x
    x = 288,260.53/617.84
  6. Step 6: Final answer
    x = 466.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.