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Finding the Fourth Proportional to 397, 592.49 and 393.16

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Solution

The fourth proportional to 397, 592.49 and 393.16 is: 586.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    397 : 592.49 = 393.16 : x
  2. Step 2: Convert to fraction form
    397/592.49 = 393.16/x
  3. Step 3: Cross multiply
    397x = 592.49 × 393.16
  4. Step 4: Simplify right side
    397x = 232,943.37
  5. Step 5: Solve for x
    x = 232,943.37/397
  6. Step 6: Final answer
    x = 586.76

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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.