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Finding the Fourth Proportional to 649.45, 896.26 and 354.75

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Solution

The fourth proportional to 649.45, 896.26 and 354.75 is: 489.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.45 : 896.26 = 354.75 : x
  2. Step 2: Convert to fraction form
    649.45/896.26 = 354.75/x
  3. Step 3: Cross multiply
    649.45x = 896.26 × 354.75
  4. Step 4: Simplify right side
    649.45x = 317,948.24
  5. Step 5: Solve for x
    x = 317,948.24/649.45
  6. Step 6: Final answer
    x = 489.57

Related Problems

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Double scale
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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.