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Finding the Fourth Proportional to 609.72, 841.83 and 469.59

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Solution

The fourth proportional to 609.72, 841.83 and 469.59 is: 648.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.72 : 841.83 = 469.59 : x
  2. Step 2: Convert to fraction form
    609.72/841.83 = 469.59/x
  3. Step 3: Cross multiply
    609.72x = 841.83 × 469.59
  4. Step 4: Simplify right side
    609.72x = 395,312.60
  5. Step 5: Solve for x
    x = 395,312.60/609.72
  6. Step 6: Final answer
    x = 648.35

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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.