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Finding the Fourth Proportional to 495.84, 684.16 and 299.32

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Solution

The fourth proportional to 495.84, 684.16 and 299.32 is: 412.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.84 : 684.16 = 299.32 : x
  2. Step 2: Convert to fraction form
    495.84/684.16 = 299.32/x
  3. Step 3: Cross multiply
    495.84x = 684.16 × 299.32
  4. Step 4: Simplify right side
    495.84x = 204,780.31
  5. Step 5: Solve for x
    x = 204,780.31/495.84
  6. Step 6: Final answer
    x = 412.99

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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.