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Finding the Fourth Proportional to 435.72, 601.35 and 361.91

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Solution

The fourth proportional to 435.72, 601.35 and 361.91 is: 499.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.72 : 601.35 = 361.91 : x
  2. Step 2: Convert to fraction form
    435.72/601.35 = 361.91/x
  3. Step 3: Cross multiply
    435.72x = 601.35 × 361.91
  4. Step 4: Simplify right side
    435.72x = 217,636.08
  5. Step 5: Solve for x
    x = 217,636.08/435.72
  6. Step 6: Final answer
    x = 499.49

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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.