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Finding the Fourth Proportional to 878.21, 1,316.45 and 415.17

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Solution

The fourth proportional to 878.21, 1,316.45 and 415.17 is: 622.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.21 : 1,316.45 = 415.17 : x
  2. Step 2: Convert to fraction form
    878.21/1,316.45 = 415.17/x
  3. Step 3: Cross multiply
    878.21x = 1,316.45 × 415.17
  4. Step 4: Simplify right side
    878.21x = 546,548.47
  5. Step 5: Solve for x
    x = 546,548.47/878.21
  6. Step 6: Final answer
    x = 622.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.