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Finding the Fourth Proportional to 419.22, 578.30 and 253.50

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Solution

The fourth proportional to 419.22, 578.30 and 253.50 is: 349.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.22 : 578.30 = 253.50 : x
  2. Step 2: Convert to fraction form
    419.22/578.30 = 253.50/x
  3. Step 3: Cross multiply
    419.22x = 578.30 × 253.50
  4. Step 4: Simplify right side
    419.22x = 146,599.05
  5. Step 5: Solve for x
    x = 146,599.05/419.22
  6. Step 6: Final answer
    x = 349.69

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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.