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Finding the Fourth Proportional to 415.51, 573.27 and 240.82

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Solution

The fourth proportional to 415.51, 573.27 and 240.82 is: 332.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.51 : 573.27 = 240.82 : x
  2. Step 2: Convert to fraction form
    415.51/573.27 = 240.82/x
  3. Step 3: Cross multiply
    415.51x = 573.27 × 240.82
  4. Step 4: Simplify right side
    415.51x = 138,054.88
  5. Step 5: Solve for x
    x = 138,054.88/415.51
  6. Step 6: Final answer
    x = 332.25

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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.