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Finding the Fourth Proportional to 566.71, 850.31 and 293.00

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Solution

The fourth proportional to 566.71, 850.31 and 293.00 is: 439.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.71 : 850.31 = 293.00 : x
  2. Step 2: Convert to fraction form
    566.71/850.31 = 293.00/x
  3. Step 3: Cross multiply
    566.71x = 850.31 × 293.00
  4. Step 4: Simplify right side
    566.71x = 249,136.92
  5. Step 5: Solve for x
    x = 249,136.92/566.71
  6. Step 6: Final answer
    x = 439.62

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Why These Related Problems?

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