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Finding the Fourth Proportional to 407.97, 608.67 and 393.03

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Solution

The fourth proportional to 407.97, 608.67 and 393.03 is: 586.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.97 : 608.67 = 393.03 : x
  2. Step 2: Convert to fraction form
    407.97/608.67 = 393.03/x
  3. Step 3: Cross multiply
    407.97x = 608.67 × 393.03
  4. Step 4: Simplify right side
    407.97x = 239,225.57
  5. Step 5: Solve for x
    x = 239,225.57/407.97
  6. Step 6: Final answer
    x = 586.38

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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.