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Finding the Fourth Proportional to 601.45, 830.12 and 380.68

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Solution

The fourth proportional to 601.45, 830.12 and 380.68 is: 525.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.45 : 830.12 = 380.68 : x
  2. Step 2: Convert to fraction form
    601.45/830.12 = 380.68/x
  3. Step 3: Cross multiply
    601.45x = 830.12 × 380.68
  4. Step 4: Simplify right side
    601.45x = 316,010.08
  5. Step 5: Solve for x
    x = 316,010.08/601.45
  6. Step 6: Final answer
    x = 525.41

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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.