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Finding the Fourth Proportional to 649.70, 896.61 and 355.00

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Solution

The fourth proportional to 649.70, 896.61 and 355.00 is: 489.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.70 : 896.61 = 355.00 : x
  2. Step 2: Convert to fraction form
    649.70/896.61 = 355.00/x
  3. Step 3: Cross multiply
    649.70x = 896.61 × 355.00
  4. Step 4: Simplify right side
    649.70x = 318,290.29
  5. Step 5: Solve for x
    x = 318,290.29/649.70
  6. Step 6: Final answer
    x = 489.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.