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Finding the Fourth Proportional to 609.84, 841.32 and 399.95

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Solution

The fourth proportional to 609.84, 841.32 and 399.95 is: 551.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.84 : 841.32 = 399.95 : x
  2. Step 2: Convert to fraction form
    609.84/841.32 = 399.95/x
  3. Step 3: Cross multiply
    609.84x = 841.32 × 399.95
  4. Step 4: Simplify right side
    609.84x = 336,485.93
  5. Step 5: Solve for x
    x = 336,485.93/609.84
  6. Step 6: Final answer
    x = 551.76

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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.