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Finding the Fourth Proportional to 495.29, 742.82 and 319.06

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Solution

The fourth proportional to 495.29, 742.82 and 319.06 is: 478.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.29 : 742.82 = 319.06 : x
  2. Step 2: Convert to fraction form
    495.29/742.82 = 319.06/x
  3. Step 3: Cross multiply
    495.29x = 742.82 × 319.06
  4. Step 4: Simplify right side
    495.29x = 236,998.84
  5. Step 5: Solve for x
    x = 236,998.84/495.29
  6. Step 6: Final answer
    x = 478.51

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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.