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Finding the Fourth Proportional to 565.80, 780.58 and 344.67

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Solution

The fourth proportional to 565.80, 780.58 and 344.67 is: 475.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.80 : 780.58 = 344.67 : x
  2. Step 2: Convert to fraction form
    565.80/780.58 = 344.67/x
  3. Step 3: Cross multiply
    565.80x = 780.58 × 344.67
  4. Step 4: Simplify right side
    565.80x = 269,042.51
  5. Step 5: Solve for x
    x = 269,042.51/565.80
  6. Step 6: Final answer
    x = 475.51

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