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Finding the Fourth Proportional to 609.84, 841.68 and 499.11

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Solution

The fourth proportional to 609.84, 841.68 and 499.11 is: 688.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.84 : 841.68 = 499.11 : x
  2. Step 2: Convert to fraction form
    609.84/841.68 = 499.11/x
  3. Step 3: Cross multiply
    609.84x = 841.68 × 499.11
  4. Step 4: Simplify right side
    609.84x = 420,090.90
  5. Step 5: Solve for x
    x = 420,090.90/609.84
  6. Step 6: Final answer
    x = 688.85

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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.