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Finding the Fourth Proportional to 415.24, 573.03 and 247.31

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Solution

The fourth proportional to 415.24, 573.03 and 247.31 is: 341.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.24 : 573.03 = 247.31 : x
  2. Step 2: Convert to fraction form
    415.24/573.03 = 247.31/x
  3. Step 3: Cross multiply
    415.24x = 573.03 × 247.31
  4. Step 4: Simplify right side
    415.24x = 141,714.81
  5. Step 5: Solve for x
    x = 141,714.81/415.24
  6. Step 6: Final answer
    x = 341.28

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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.