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Finding the Fourth Proportional to 477.98, 715.36 and 336.73

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Solution

The fourth proportional to 477.98, 715.36 and 336.73 is: 503.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.98 : 715.36 = 336.73 : x
  2. Step 2: Convert to fraction form
    477.98/715.36 = 336.73/x
  3. Step 3: Cross multiply
    477.98x = 715.36 × 336.73
  4. Step 4: Simplify right side
    477.98x = 240,883.58
  5. Step 5: Solve for x
    x = 240,883.58/477.98
  6. Step 6: Final answer
    x = 503.97

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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.