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Finding the Fourth Proportional to 430.46, 592.20 and 380.42

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Solution

The fourth proportional to 430.46, 592.20 and 380.42 is: 523.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.46 : 592.20 = 380.42 : x
  2. Step 2: Convert to fraction form
    430.46/592.20 = 380.42/x
  3. Step 3: Cross multiply
    430.46x = 592.20 × 380.42
  4. Step 4: Simplify right side
    430.46x = 225,284.72
  5. Step 5: Solve for x
    x = 225,284.72/430.46
  6. Step 6: Final answer
    x = 523.36

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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.