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Finding the Fourth Proportional to 653.10, 980.02 and 263.13

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Solution

The fourth proportional to 653.10, 980.02 and 263.13 is: 394.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.10 : 980.02 = 263.13 : x
  2. Step 2: Convert to fraction form
    653.10/980.02 = 263.13/x
  3. Step 3: Cross multiply
    653.10x = 980.02 × 263.13
  4. Step 4: Simplify right side
    653.10x = 257,874.83
  5. Step 5: Solve for x
    x = 257,874.83/653.10
  6. Step 6: Final answer
    x = 394.85

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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.