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Finding the Fourth Proportional to 562.78, 842.55 and 415.54

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Solution

The fourth proportional to 562.78, 842.55 and 415.54 is: 622.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.78 : 842.55 = 415.54 : x
  2. Step 2: Convert to fraction form
    562.78/842.55 = 415.54/x
  3. Step 3: Cross multiply
    562.78x = 842.55 × 415.54
  4. Step 4: Simplify right side
    562.78x = 350,113.23
  5. Step 5: Solve for x
    x = 350,113.23/562.78
  6. Step 6: Final answer
    x = 622.11

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