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Finding the Fourth Proportional to 617.08, 851.84 and 407.36

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Solution

The fourth proportional to 617.08, 851.84 and 407.36 is: 562.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.08 : 851.84 = 407.36 : x
  2. Step 2: Convert to fraction form
    617.08/851.84 = 407.36/x
  3. Step 3: Cross multiply
    617.08x = 851.84 × 407.36
  4. Step 4: Simplify right side
    617.08x = 347,005.54
  5. Step 5: Solve for x
    x = 347,005.54/617.08
  6. Step 6: Final answer
    x = 562.33

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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.