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Finding the Fourth Proportional to 565.67, 848.96 and 305.97

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Solution

The fourth proportional to 565.67, 848.96 and 305.97 is: 459.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.67 : 848.96 = 305.97 : x
  2. Step 2: Convert to fraction form
    565.67/848.96 = 305.97/x
  3. Step 3: Cross multiply
    565.67x = 848.96 × 305.97
  4. Step 4: Simplify right side
    565.67x = 259,756.29
  5. Step 5: Solve for x
    x = 259,756.29/565.67
  6. Step 6: Final answer
    x = 459.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.