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Finding the Fourth Proportional to 495.64, 684.01 and 299.18

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Solution

The fourth proportional to 495.64, 684.01 and 299.18 is: 412.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.64 : 684.01 = 299.18 : x
  2. Step 2: Convert to fraction form
    495.64/684.01 = 299.18/x
  3. Step 3: Cross multiply
    495.64x = 684.01 × 299.18
  4. Step 4: Simplify right side
    495.64x = 204,642.11
  5. Step 5: Solve for x
    x = 204,642.11/495.64
  6. Step 6: Final answer
    x = 412.88

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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.