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Finding the Fourth Proportional to 392.66, 591.77 and 369.57

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Solution

The fourth proportional to 392.66, 591.77 and 369.57 is: 556.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.66 : 591.77 = 369.57 : x
  2. Step 2: Convert to fraction form
    392.66/591.77 = 369.57/x
  3. Step 3: Cross multiply
    392.66x = 591.77 × 369.57
  4. Step 4: Simplify right side
    392.66x = 218,703.58
  5. Step 5: Solve for x
    x = 218,703.58/392.66
  6. Step 6: Final answer
    x = 556.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.