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Finding the Fourth Proportional to 429.32, 591.81 and 380.18

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Solution

The fourth proportional to 429.32, 591.81 and 380.18 is: 524.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.32 : 591.81 = 380.18 : x
  2. Step 2: Convert to fraction form
    429.32/591.81 = 380.18/x
  3. Step 3: Cross multiply
    429.32x = 591.81 × 380.18
  4. Step 4: Simplify right side
    429.32x = 224,991.37
  5. Step 5: Solve for x
    x = 224,991.37/429.32
  6. Step 6: Final answer
    x = 524.07

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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.