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Finding the Fourth Proportional to 399.47, 596.34 and 381.74

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Solution

The fourth proportional to 399.47, 596.34 and 381.74 is: 569.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.47 : 596.34 = 381.74 : x
  2. Step 2: Convert to fraction form
    399.47/596.34 = 381.74/x
  3. Step 3: Cross multiply
    399.47x = 596.34 × 381.74
  4. Step 4: Simplify right side
    399.47x = 227,643.85
  5. Step 5: Solve for x
    x = 227,643.85/399.47
  6. Step 6: Final answer
    x = 569.87

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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.