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Finding the Fourth Proportional to 609.89, 841.65 and 347.90

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Solution

The fourth proportional to 609.89, 841.65 and 347.90 is: 480.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.89 : 841.65 = 347.90 : x
  2. Step 2: Convert to fraction form
    609.89/841.65 = 347.90/x
  3. Step 3: Cross multiply
    609.89x = 841.65 × 347.90
  4. Step 4: Simplify right side
    609.89x = 292,810.04
  5. Step 5: Solve for x
    x = 292,810.04/609.89
  6. Step 6: Final answer
    x = 480.10

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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.