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Finding the Fourth Proportional to 407.72, 562.56 and 241.82

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Solution

The fourth proportional to 407.72, 562.56 and 241.82 is: 333.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.72 : 562.56 = 241.82 : x
  2. Step 2: Convert to fraction form
    407.72/562.56 = 241.82/x
  3. Step 3: Cross multiply
    407.72x = 562.56 × 241.82
  4. Step 4: Simplify right side
    407.72x = 136,038.26
  5. Step 5: Solve for x
    x = 136,038.26/407.72
  6. Step 6: Final answer
    x = 333.66

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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.