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Finding the Fourth Proportional to 617.94, 852.76 and 369.31

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Solution

The fourth proportional to 617.94, 852.76 and 369.31 is: 509.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.94 : 852.76 = 369.31 : x
  2. Step 2: Convert to fraction form
    617.94/852.76 = 369.31/x
  3. Step 3: Cross multiply
    617.94x = 852.76 × 369.31
  4. Step 4: Simplify right side
    617.94x = 314,934.64
  5. Step 5: Solve for x
    x = 314,934.64/617.94
  6. Step 6: Final answer
    x = 509.65

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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.