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Finding the Fourth Proportional to 617.82, 925.56 and 309.66

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Solution

The fourth proportional to 617.82, 925.56 and 309.66 is: 463.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.82 : 925.56 = 309.66 : x
  2. Step 2: Convert to fraction form
    617.82/925.56 = 309.66/x
  3. Step 3: Cross multiply
    617.82x = 925.56 × 309.66
  4. Step 4: Simplify right side
    617.82x = 286,608.91
  5. Step 5: Solve for x
    x = 286,608.91/617.82
  6. Step 6: Final answer
    x = 463.90

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Why These Related Problems?

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