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Finding the Fourth Proportional to 566.99, 850.94 and 293.16

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Solution

The fourth proportional to 566.99, 850.94 and 293.16 is: 439.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.99 : 850.94 = 293.16 : x
  2. Step 2: Convert to fraction form
    566.99/850.94 = 293.16/x
  3. Step 3: Cross multiply
    566.99x = 850.94 × 293.16
  4. Step 4: Simplify right side
    566.99x = 249,464.43
  5. Step 5: Solve for x
    x = 249,464.43/566.99
  6. Step 6: Final answer
    x = 439.98

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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.