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Finding the Fourth Proportional to 565.80, 847.74 and 309.48

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Solution

The fourth proportional to 565.80, 847.74 and 309.48 is: 463.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.80 : 847.74 = 309.48 : x
  2. Step 2: Convert to fraction form
    565.80/847.74 = 309.48/x
  3. Step 3: Cross multiply
    565.80x = 847.74 × 309.48
  4. Step 4: Simplify right side
    565.80x = 262,358.58
  5. Step 5: Solve for x
    x = 262,358.58/565.80
  6. Step 6: Final answer
    x = 463.69

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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.