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Finding the Fourth Proportional to 617.52, 852.51 and 477.33

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Solution

The fourth proportional to 617.52, 852.51 and 477.33 is: 658.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.52 : 852.51 = 477.33 : x
  2. Step 2: Convert to fraction form
    617.52/852.51 = 477.33/x
  3. Step 3: Cross multiply
    617.52x = 852.51 × 477.33
  4. Step 4: Simplify right side
    617.52x = 406,928.60
  5. Step 5: Solve for x
    x = 406,928.60/617.52
  6. Step 6: Final answer
    x = 658.97

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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.