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Finding the Fourth Proportional to 473.76, 710.67 and 199.89

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Solution

The fourth proportional to 473.76, 710.67 and 199.89 is: 299.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.76 : 710.67 = 199.89 : x
  2. Step 2: Convert to fraction form
    473.76/710.67 = 199.89/x
  3. Step 3: Cross multiply
    473.76x = 710.67 × 199.89
  4. Step 4: Simplify right side
    473.76x = 142,055.83
  5. Step 5: Solve for x
    x = 142,055.83/473.76
  6. Step 6: Final answer
    x = 299.85

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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.