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Finding the Fourth Proportional to 653.54, 980.10 and 345.33

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Solution

The fourth proportional to 653.54, 980.10 and 345.33 is: 517.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.54 : 980.10 = 345.33 : x
  2. Step 2: Convert to fraction form
    653.54/980.10 = 345.33/x
  3. Step 3: Cross multiply
    653.54x = 980.10 × 345.33
  4. Step 4: Simplify right side
    653.54x = 338,457.93
  5. Step 5: Solve for x
    x = 338,457.93/653.54
  6. Step 6: Final answer
    x = 517.89

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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.