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Finding the Fourth Proportional to 429.10, 591.46 and 304.57

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Solution

The fourth proportional to 429.10, 591.46 and 304.57 is: 419.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.10 : 591.46 = 304.57 : x
  2. Step 2: Convert to fraction form
    429.10/591.46 = 304.57/x
  3. Step 3: Cross multiply
    429.10x = 591.46 × 304.57
  4. Step 4: Simplify right side
    429.10x = 180,140.97
  5. Step 5: Solve for x
    x = 180,140.97/429.10
  6. Step 6: Final answer
    x = 419.81

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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.