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Finding the Fourth Proportional to 566.06, 848.52 and 273.13

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Solution

The fourth proportional to 566.06, 848.52 and 273.13 is: 409.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.06 : 848.52 = 273.13 : x
  2. Step 2: Convert to fraction form
    566.06/848.52 = 273.13/x
  3. Step 3: Cross multiply
    566.06x = 848.52 × 273.13
  4. Step 4: Simplify right side
    566.06x = 231,756.27
  5. Step 5: Solve for x
    x = 231,756.27/566.06
  6. Step 6: Final answer
    x = 409.42

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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.