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Finding the Fourth Proportional to 617.39, 852 and 337.63

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Solution

The fourth proportional to 617.39, 852 and 337.63 is: 465.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.39 : 852 = 337.63 : x
  2. Step 2: Convert to fraction form
    617.39/852 = 337.63/x
  3. Step 3: Cross multiply
    617.39x = 852 × 337.63
  4. Step 4: Simplify right side
    617.39x = 287,656.50
  5. Step 5: Solve for x
    x = 287,656.50/617.39
  6. Step 6: Final answer
    x = 465.93

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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.