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Finding the Fourth Proportional to 401.58, 597.89 and 396.72

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Solution

The fourth proportional to 401.58, 597.89 and 396.72 is: 590.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.58 : 597.89 = 396.72 : x
  2. Step 2: Convert to fraction form
    401.58/597.89 = 396.72/x
  3. Step 3: Cross multiply
    401.58x = 597.89 × 396.72
  4. Step 4: Simplify right side
    401.58x = 237,195.91
  5. Step 5: Solve for x
    x = 237,195.91/401.58
  6. Step 6: Final answer
    x = 590.66

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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.