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Finding the Fourth Proportional to 419.32, 578.72 and 253.64

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Solution

The fourth proportional to 419.32, 578.72 and 253.64 is: 350.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.32 : 578.72 = 253.64 : x
  2. Step 2: Convert to fraction form
    419.32/578.72 = 253.64/x
  3. Step 3: Cross multiply
    419.32x = 578.72 × 253.64
  4. Step 4: Simplify right side
    419.32x = 146,786.54
  5. Step 5: Solve for x
    x = 146,786.54/419.32
  6. Step 6: Final answer
    x = 350.06

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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.