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Finding the Fourth Proportional to 649.81, 896.71 and 355.08

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Solution

The fourth proportional to 649.81, 896.71 and 355.08 is: 490.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.81 : 896.71 = 355.08 : x
  2. Step 2: Convert to fraction form
    649.81/896.71 = 355.08/x
  3. Step 3: Cross multiply
    649.81x = 896.71 × 355.08
  4. Step 4: Simplify right side
    649.81x = 318,403.79
  5. Step 5: Solve for x
    x = 318,403.79/649.81
  6. Step 6: Final answer
    x = 490.00

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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.