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Finding the Fourth Proportional to 617.84, 852.59 and 338.07

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Solution

The fourth proportional to 617.84, 852.59 and 338.07 is: 466.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.84 : 852.59 = 338.07 : x
  2. Step 2: Convert to fraction form
    617.84/852.59 = 338.07/x
  3. Step 3: Cross multiply
    617.84x = 852.59 × 338.07
  4. Step 4: Simplify right side
    617.84x = 288,233.41
  5. Step 5: Solve for x
    x = 288,233.41/617.84
  6. Step 6: Final answer
    x = 466.52

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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.