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Finding the Fourth Proportional to 653.64, 980.65 and 406.68

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Solution

The fourth proportional to 653.64, 980.65 and 406.68 is: 610.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.64 : 980.65 = 406.68 : x
  2. Step 2: Convert to fraction form
    653.64/980.65 = 406.68/x
  3. Step 3: Cross multiply
    653.64x = 980.65 × 406.68
  4. Step 4: Simplify right side
    653.64x = 398,810.74
  5. Step 5: Solve for x
    x = 398,810.74/653.64
  6. Step 6: Final answer
    x = 610.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.