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Finding the Fourth Proportional to 609.64, 841.44 and 347.68

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Solution

The fourth proportional to 609.64, 841.44 and 347.68 is: 479.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.64 : 841.44 = 347.68 : x
  2. Step 2: Convert to fraction form
    609.64/841.44 = 347.68/x
  3. Step 3: Cross multiply
    609.64x = 841.44 × 347.68
  4. Step 4: Simplify right side
    609.64x = 292,551.86
  5. Step 5: Solve for x
    x = 292,551.86/609.64
  6. Step 6: Final answer
    x = 479.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.