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Finding the Fourth Proportional to 645.45, 968.71 and 299.17

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Solution

The fourth proportional to 645.45, 968.71 and 299.17 is: 449.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.45 : 968.71 = 299.17 : x
  2. Step 2: Convert to fraction form
    645.45/968.71 = 299.17/x
  3. Step 3: Cross multiply
    645.45x = 968.71 × 299.17
  4. Step 4: Simplify right side
    645.45x = 289,808.97
  5. Step 5: Solve for x
    x = 289,808.97/645.45
  6. Step 6: Final answer
    x = 449.00

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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.