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Finding the Fourth Proportional to 484.56, 668.55 and 410.19

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Solution

The fourth proportional to 484.56, 668.55 and 410.19 is: 565.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.56 : 668.55 = 410.19 : x
  2. Step 2: Convert to fraction form
    484.56/668.55 = 410.19/x
  3. Step 3: Cross multiply
    484.56x = 668.55 × 410.19
  4. Step 4: Simplify right side
    484.56x = 274,232.52
  5. Step 5: Solve for x
    x = 274,232.52/484.56
  6. Step 6: Final answer
    x = 565.94

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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.