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Finding the Fourth Proportional to 381.86, 569.80 and 332.66

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Solution

The fourth proportional to 381.86, 569.80 and 332.66 is: 496.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.86 : 569.80 = 332.66 : x
  2. Step 2: Convert to fraction form
    381.86/569.80 = 332.66/x
  3. Step 3: Cross multiply
    381.86x = 569.80 × 332.66
  4. Step 4: Simplify right side
    381.86x = 189,549.67
  5. Step 5: Solve for x
    x = 189,549.67/381.86
  6. Step 6: Final answer
    x = 496.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.