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Finding the Fourth Proportional to 617.47, 925.88 and 206.47

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Solution

The fourth proportional to 617.47, 925.88 and 206.47 is: 309.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.47 : 925.88 = 206.47 : x
  2. Step 2: Convert to fraction form
    617.47/925.88 = 206.47/x
  3. Step 3: Cross multiply
    617.47x = 925.88 × 206.47
  4. Step 4: Simplify right side
    617.47x = 191,170.33
  5. Step 5: Solve for x
    x = 191,170.33/617.47
  6. Step 6: Final answer
    x = 309.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.