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Finding the Fourth Proportional to 609.36, 840.96 and 402

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Solution

The fourth proportional to 609.36, 840.96 and 402 is: 554.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.36 : 840.96 = 402 : x
  2. Step 2: Convert to fraction form
    609.36/840.96 = 402/x
  3. Step 3: Cross multiply
    609.36x = 840.96 × 402
  4. Step 4: Simplify right side
    609.36x = 338,065.92
  5. Step 5: Solve for x
    x = 338,065.92/609.36
  6. Step 6: Final answer
    x = 554.79

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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.