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Finding the Fourth Proportional to 495.29, 742.69 and 322.04

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Solution

The fourth proportional to 495.29, 742.69 and 322.04 is: 482.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.29 : 742.69 = 322.04 : x
  2. Step 2: Convert to fraction form
    495.29/742.69 = 322.04/x
  3. Step 3: Cross multiply
    495.29x = 742.69 × 322.04
  4. Step 4: Simplify right side
    495.29x = 239,175.89
  5. Step 5: Solve for x
    x = 239,175.89/495.29
  6. Step 6: Final answer
    x = 482.90

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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.