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Finding the Fourth Proportional to 609.16, 840.32 and 412.80

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Solution

The fourth proportional to 609.16, 840.32 and 412.80 is: 569.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.16 : 840.32 = 412.80 : x
  2. Step 2: Convert to fraction form
    609.16/840.32 = 412.80/x
  3. Step 3: Cross multiply
    609.16x = 840.32 × 412.80
  4. Step 4: Simplify right side
    609.16x = 346,884.10
  5. Step 5: Solve for x
    x = 346,884.10/609.16
  6. Step 6: Final answer
    x = 569.45

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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.