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Finding the Fourth Proportional to 419.76, 578.88 and 272.34

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Solution

The fourth proportional to 419.76, 578.88 and 272.34 is: 375.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.76 : 578.88 = 272.34 : x
  2. Step 2: Convert to fraction form
    419.76/578.88 = 272.34/x
  3. Step 3: Cross multiply
    419.76x = 578.88 × 272.34
  4. Step 4: Simplify right side
    419.76x = 157,652.18
  5. Step 5: Solve for x
    x = 157,652.18/419.76
  6. Step 6: Final answer
    x = 375.58

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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.