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Finding the Fourth Proportional to 407.75, 608.97 and 353.07

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Solution

The fourth proportional to 407.75, 608.97 and 353.07 is: 527.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.75 : 608.97 = 353.07 : x
  2. Step 2: Convert to fraction form
    407.75/608.97 = 353.07/x
  3. Step 3: Cross multiply
    407.75x = 608.97 × 353.07
  4. Step 4: Simplify right side
    407.75x = 215,010.36
  5. Step 5: Solve for x
    x = 215,010.36/407.75
  6. Step 6: Final answer
    x = 527.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.