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Finding the Fourth Proportional to 423.01, 632.85 and 397.09

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Solution

The fourth proportional to 423.01, 632.85 and 397.09 is: 594.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.01 : 632.85 = 397.09 : x
  2. Step 2: Convert to fraction form
    423.01/632.85 = 397.09/x
  3. Step 3: Cross multiply
    423.01x = 632.85 × 397.09
  4. Step 4: Simplify right side
    423.01x = 251,297.71
  5. Step 5: Solve for x
    x = 251,297.71/423.01
  6. Step 6: Final answer
    x = 594.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.