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Finding the Fourth Proportional to 609.18, 840.51 and 347.10

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Solution

The fourth proportional to 609.18, 840.51 and 347.10 is: 478.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.18 : 840.51 = 347.10 : x
  2. Step 2: Convert to fraction form
    609.18/840.51 = 347.10/x
  3. Step 3: Cross multiply
    609.18x = 840.51 × 347.10
  4. Step 4: Simplify right side
    609.18x = 291,741.02
  5. Step 5: Solve for x
    x = 291,741.02/609.18
  6. Step 6: Final answer
    x = 478.91

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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.