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Finding the Fourth Proportional to 662.16, 913.77 and 410.19

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Solution

The fourth proportional to 662.16, 913.77 and 410.19 is: 566.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.16 : 913.77 = 410.19 : x
  2. Step 2: Convert to fraction form
    662.16/913.77 = 410.19/x
  3. Step 3: Cross multiply
    662.16x = 913.77 × 410.19
  4. Step 4: Simplify right side
    662.16x = 374,819.32
  5. Step 5: Solve for x
    x = 374,819.32/662.16
  6. Step 6: Final answer
    x = 566.06

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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.