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Finding the Fourth Proportional to 495.71, 684.16 and 318.89

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Solution

The fourth proportional to 495.71, 684.16 and 318.89 is: 440.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.71 : 684.16 = 318.89 : x
  2. Step 2: Convert to fraction form
    495.71/684.16 = 318.89/x
  3. Step 3: Cross multiply
    495.71x = 684.16 × 318.89
  4. Step 4: Simplify right side
    495.71x = 218,168.36
  5. Step 5: Solve for x
    x = 218,168.36/495.71
  6. Step 6: Final answer
    x = 440.12

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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.