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Finding the Fourth Proportional to 562.56, 842.40 and 273.60

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Solution

The fourth proportional to 562.56, 842.40 and 273.60 is: 409.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.56 : 842.40 = 273.60 : x
  2. Step 2: Convert to fraction form
    562.56/842.40 = 273.60/x
  3. Step 3: Cross multiply
    562.56x = 842.40 × 273.60
  4. Step 4: Simplify right side
    562.56x = 230,480.64
  5. Step 5: Solve for x
    x = 230,480.64/562.56
  6. Step 6: Final answer
    x = 409.70

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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.