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Finding the Fourth Proportional to 653.50, 980.46 and 409.72

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Solution

The fourth proportional to 653.50, 980.46 and 409.72 is: 614.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.50 : 980.46 = 409.72 : x
  2. Step 2: Convert to fraction form
    653.50/980.46 = 409.72/x
  3. Step 3: Cross multiply
    653.50x = 980.46 × 409.72
  4. Step 4: Simplify right side
    653.50x = 401,714.07
  5. Step 5: Solve for x
    x = 401,714.07/653.50
  6. Step 6: Final answer
    x = 614.71

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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.