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Finding the Fourth Proportional to 609.93, 841.54 and 354.33

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Solution

The fourth proportional to 609.93, 841.54 and 354.33 is: 488.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.93 : 841.54 = 354.33 : x
  2. Step 2: Convert to fraction form
    609.93/841.54 = 354.33/x
  3. Step 3: Cross multiply
    609.93x = 841.54 × 354.33
  4. Step 4: Simplify right side
    609.93x = 298,176.89
  5. Step 5: Solve for x
    x = 298,176.89/609.93
  6. Step 6: Final answer
    x = 488.87

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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.