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Finding the Fourth Proportional to 649.67, 896.53 and 354.93

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Solution

The fourth proportional to 649.67, 896.53 and 354.93 is: 489.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.67 : 896.53 = 354.93 : x
  2. Step 2: Convert to fraction form
    649.67/896.53 = 354.93/x
  3. Step 3: Cross multiply
    649.67x = 896.53 × 354.93
  4. Step 4: Simplify right side
    649.67x = 318,200.81
  5. Step 5: Solve for x
    x = 318,200.81/649.67
  6. Step 6: Final answer
    x = 489.79

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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.