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Finding the Fourth Proportional to 617.06, 851.64 and 417.90

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Solution

The fourth proportional to 617.06, 851.64 and 417.90 is: 576.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.06 : 851.64 = 417.90 : x
  2. Step 2: Convert to fraction form
    617.06/851.64 = 417.90/x
  3. Step 3: Cross multiply
    617.06x = 851.64 × 417.90
  4. Step 4: Simplify right side
    617.06x = 355,900.36
  5. Step 5: Solve for x
    x = 355,900.36/617.06
  6. Step 6: Final answer
    x = 576.77

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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.