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Finding the Fourth Proportional to 601.43, 900.32 and 395.03

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Solution

The fourth proportional to 601.43, 900.32 and 395.03 is: 591.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.43 : 900.32 = 395.03 : x
  2. Step 2: Convert to fraction form
    601.43/900.32 = 395.03/x
  3. Step 3: Cross multiply
    601.43x = 900.32 × 395.03
  4. Step 4: Simplify right side
    601.43x = 355,648.62
  5. Step 5: Solve for x
    x = 355,648.62/601.43
  6. Step 6: Final answer
    x = 591.34

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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.