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Finding the Fourth Proportional to 653.24, 980.08 and 409.47

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Solution

The fourth proportional to 653.24, 980.08 and 409.47 is: 614.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.24 : 980.08 = 409.47 : x
  2. Step 2: Convert to fraction form
    653.24/980.08 = 409.47/x
  3. Step 3: Cross multiply
    653.24x = 980.08 × 409.47
  4. Step 4: Simplify right side
    653.24x = 401,312.33
  5. Step 5: Solve for x
    x = 401,312.33/653.24
  6. Step 6: Final answer
    x = 614.35

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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.