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Finding the Fourth Proportional to 407.10, 561.75 and 241.28

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Solution

The fourth proportional to 407.10, 561.75 and 241.28 is: 332.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.10 : 561.75 = 241.28 : x
  2. Step 2: Convert to fraction form
    407.10/561.75 = 241.28/x
  3. Step 3: Cross multiply
    407.10x = 561.75 × 241.28
  4. Step 4: Simplify right side
    407.10x = 135,535.02
  5. Step 5: Solve for x
    x = 135,535.02/407.10
  6. Step 6: Final answer
    x = 332.93

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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.