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Finding the Fourth Proportional to 565.36, 780.24 and 344.50

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Solution

The fourth proportional to 565.36, 780.24 and 344.50 is: 475.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.36 : 780.24 = 344.50 : x
  2. Step 2: Convert to fraction form
    565.36/780.24 = 344.50/x
  3. Step 3: Cross multiply
    565.36x = 780.24 × 344.50
  4. Step 4: Simplify right side
    565.36x = 268,792.68
  5. Step 5: Solve for x
    x = 268,792.68/565.36
  6. Step 6: Final answer
    x = 475.44

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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.