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Finding the Fourth Proportional to 601.80, 830.25 and 380.66

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Solution

The fourth proportional to 601.80, 830.25 and 380.66 is: 525.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.80 : 830.25 = 380.66 : x
  2. Step 2: Convert to fraction form
    601.80/830.25 = 380.66/x
  3. Step 3: Cross multiply
    601.80x = 830.25 × 380.66
  4. Step 4: Simplify right side
    601.80x = 316,042.97
  5. Step 5: Solve for x
    x = 316,042.97/601.80
  6. Step 6: Final answer
    x = 525.16

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