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Finding the Fourth Proportional to 407.49, 606.93 and 402.09

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Solution

The fourth proportional to 407.49, 606.93 and 402.09 is: 598.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.49 : 606.93 = 402.09 : x
  2. Step 2: Convert to fraction form
    407.49/606.93 = 402.09/x
  3. Step 3: Cross multiply
    407.49x = 606.93 × 402.09
  4. Step 4: Simplify right side
    407.49x = 244,040.48
  5. Step 5: Solve for x
    x = 244,040.48/407.49
  6. Step 6: Final answer
    x = 598.89

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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.