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Finding the Fourth Proportional to 606.47, 837.18 and 410.25

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Solution

The fourth proportional to 606.47, 837.18 and 410.25 is: 566.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.47 : 837.18 = 410.25 : x
  2. Step 2: Convert to fraction form
    606.47/837.18 = 410.25/x
  3. Step 3: Cross multiply
    606.47x = 837.18 × 410.25
  4. Step 4: Simplify right side
    606.47x = 343,453.10
  5. Step 5: Solve for x
    x = 343,453.10/606.47
  6. Step 6: Final answer
    x = 566.32

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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.