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Finding the Fourth Proportional to 565.02, 779.90 and 343.89

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Solution

The fourth proportional to 565.02, 779.90 and 343.89 is: 474.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.02 : 779.90 = 343.89 : x
  2. Step 2: Convert to fraction form
    565.02/779.90 = 343.89/x
  3. Step 3: Cross multiply
    565.02x = 779.90 × 343.89
  4. Step 4: Simplify right side
    565.02x = 268,198.09
  5. Step 5: Solve for x
    x = 268,198.09/565.02
  6. Step 6: Final answer
    x = 474.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.