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Finding the Fourth Proportional to 490.98, 732.96 and 473.90

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Solution

The fourth proportional to 490.98, 732.96 and 473.90 is: 707.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.98 : 732.96 = 473.90 : x
  2. Step 2: Convert to fraction form
    490.98/732.96 = 473.90/x
  3. Step 3: Cross multiply
    490.98x = 732.96 × 473.90
  4. Step 4: Simplify right side
    490.98x = 347,349.74
  5. Step 5: Solve for x
    x = 347,349.74/490.98
  6. Step 6: Final answer
    x = 707.46

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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.