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Finding the Fourth Proportional to 609.12, 840.78 and 373.01

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Solution

The fourth proportional to 609.12, 840.78 and 373.01 is: 514.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.12 : 840.78 = 373.01 : x
  2. Step 2: Convert to fraction form
    609.12/840.78 = 373.01/x
  3. Step 3: Cross multiply
    609.12x = 840.78 × 373.01
  4. Step 4: Simplify right side
    609.12x = 313,615.14
  5. Step 5: Solve for x
    x = 313,615.14/609.12
  6. Step 6: Final answer
    x = 514.87

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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.