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Finding the Fourth Proportional to 617.25, 850.32 and 469.74

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Solution

The fourth proportional to 617.25, 850.32 and 469.74 is: 647.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.25 : 850.32 = 469.74 : x
  2. Step 2: Convert to fraction form
    617.25/850.32 = 469.74/x
  3. Step 3: Cross multiply
    617.25x = 850.32 × 469.74
  4. Step 4: Simplify right side
    617.25x = 399,429.32
  5. Step 5: Solve for x
    x = 399,429.32/617.25
  6. Step 6: Final answer
    x = 647.11

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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.