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Finding the Fourth Proportional to 397.32, 592.50 and 393.67

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Solution

The fourth proportional to 397.32, 592.50 and 393.67 is: 587.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.32 : 592.50 = 393.67 : x
  2. Step 2: Convert to fraction form
    397.32/592.50 = 393.67/x
  3. Step 3: Cross multiply
    397.32x = 592.50 × 393.67
  4. Step 4: Simplify right side
    397.32x = 233,249.48
  5. Step 5: Solve for x
    x = 233,249.48/397.32
  6. Step 6: Final answer
    x = 587.06

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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.