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Finding the Fourth Proportional to 495.96, 738.99 and 473.88

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Solution

The fourth proportional to 495.96, 738.99 and 473.88 is: 706.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.96 : 738.99 = 473.88 : x
  2. Step 2: Convert to fraction form
    495.96/738.99 = 473.88/x
  3. Step 3: Cross multiply
    495.96x = 738.99 × 473.88
  4. Step 4: Simplify right side
    495.96x = 350,192.58
  5. Step 5: Solve for x
    x = 350,192.58/495.96
  6. Step 6: Final answer
    x = 706.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.