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Finding the Fourth Proportional to 438.96, 604.80 and 415.44

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Solution

The fourth proportional to 438.96, 604.80 and 415.44 is: 572.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.96 : 604.80 = 415.44 : x
  2. Step 2: Convert to fraction form
    438.96/604.80 = 415.44/x
  3. Step 3: Cross multiply
    438.96x = 604.80 × 415.44
  4. Step 4: Simplify right side
    438.96x = 251,258.11
  5. Step 5: Solve for x
    x = 251,258.11/438.96
  6. Step 6: Final answer
    x = 572.39

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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.