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Finding the Fourth Proportional to 653.76, 980.12 and 409.77

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Solution

The fourth proportional to 653.76, 980.12 and 409.77 is: 614.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.76 : 980.12 = 409.77 : x
  2. Step 2: Convert to fraction form
    653.76/980.12 = 409.77/x
  3. Step 3: Cross multiply
    653.76x = 980.12 × 409.77
  4. Step 4: Simplify right side
    653.76x = 401,621.72
  5. Step 5: Solve for x
    x = 401,621.72/653.76
  6. Step 6: Final answer
    x = 614.33

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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.