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Finding the Fourth Proportional to 601.90, 830.32 and 380.43

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Solution

The fourth proportional to 601.90, 830.32 and 380.43 is: 524.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.90 : 830.32 = 380.43 : x
  2. Step 2: Convert to fraction form
    601.90/830.32 = 380.43/x
  3. Step 3: Cross multiply
    601.90x = 830.32 × 380.43
  4. Step 4: Simplify right side
    601.90x = 315,877.69
  5. Step 5: Solve for x
    x = 315,877.69/601.90
  6. Step 6: Final answer
    x = 524.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.